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Finding the Fourth Proportional to 601.02, 829.66 and 414.44

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Solution

The fourth proportional to 601.02, 829.66 and 414.44 is: 572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.02 : 829.66 = 414.44 : x
  2. Step 2: Convert to fraction form
    601.02/829.66 = 414.44/x
  3. Step 3: Cross multiply
    601.02x = 829.66 × 414.44
  4. Step 4: Simplify right side
    601.02x = 343,844.29
  5. Step 5: Solve for x
    x = 343,844.29/601.02
  6. Step 6: Final answer
    x = 572.10

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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.