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Finding the Fourth Proportional to 524.16, 723.12 and 407.52

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Solution

The fourth proportional to 524.16, 723.12 and 407.52 is: 562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.16 : 723.12 = 407.52 : x
  2. Step 2: Convert to fraction form
    524.16/723.12 = 407.52/x
  3. Step 3: Cross multiply
    524.16x = 723.12 × 407.52
  4. Step 4: Simplify right side
    524.16x = 294,685.86
  5. Step 5: Solve for x
    x = 294,685.86/524.16
  6. Step 6: Final answer
    x = 562.21

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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.