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Finding the Fourth Proportional to 524.16, 721.50 and 455.04

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Solution

The fourth proportional to 524.16, 721.50 and 455.04 is: 626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.16 : 721.50 = 455.04 : x
  2. Step 2: Convert to fraction form
    524.16/721.50 = 455.04/x
  3. Step 3: Cross multiply
    524.16x = 721.50 × 455.04
  4. Step 4: Simplify right side
    524.16x = 328,311.36
  5. Step 5: Solve for x
    x = 328,311.36/524.16
  6. Step 6: Final answer
    x = 626.36

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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.