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Finding the Fourth Proportional to 524.29, 786.71 and 437.35

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Solution

The fourth proportional to 524.29, 786.71 and 437.35 is: 656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.29 : 786.71 = 437.35 : x
  2. Step 2: Convert to fraction form
    524.29/786.71 = 437.35/x
  3. Step 3: Cross multiply
    524.29x = 786.71 × 437.35
  4. Step 4: Simplify right side
    524.29x = 344,065.43
  5. Step 5: Solve for x
    x = 344,065.43/524.29
  6. Step 6: Final answer
    x = 656.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.