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Finding the Fourth Proportional to 524.07, 721.56 and 426.15

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Solution

The fourth proportional to 524.07, 721.56 and 426.15 is: 586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.07 : 721.56 = 426.15 : x
  2. Step 2: Convert to fraction form
    524.07/721.56 = 426.15/x
  3. Step 3: Cross multiply
    524.07x = 721.56 × 426.15
  4. Step 4: Simplify right side
    524.07x = 307,492.79
  5. Step 5: Solve for x
    x = 307,492.79/524.07
  6. Step 6: Final answer
    x = 586.74

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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.