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Finding the Fourth Proportional to 600.75, 829.17 and 352.08

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Solution

The fourth proportional to 600.75, 829.17 and 352.08 is: 485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.75 : 829.17 = 352.08 : x
  2. Step 2: Convert to fraction form
    600.75/829.17 = 352.08/x
  3. Step 3: Cross multiply
    600.75x = 829.17 × 352.08
  4. Step 4: Simplify right side
    600.75x = 291,934.17
  5. Step 5: Solve for x
    x = 291,934.17/600.75
  6. Step 6: Final answer
    x = 485.95

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Find fourth proportional to 300.38, 414.59 and 176.04
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.