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Finding the Fourth Proportional to 600.59, 829.35 and 452.96

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Solution

The fourth proportional to 600.59, 829.35 and 452.96 is: 625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.59 : 829.35 = 452.96 : x
  2. Step 2: Convert to fraction form
    600.59/829.35 = 452.96/x
  3. Step 3: Cross multiply
    600.59x = 829.35 × 452.96
  4. Step 4: Simplify right side
    600.59x = 375,662.38
  5. Step 5: Solve for x
    x = 375,662.38/600.59
  6. Step 6: Final answer
    x = 625.49

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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.