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Finding the Fourth Proportional to 524.16, 719.45 and 467.68

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Solution

The fourth proportional to 524.16, 719.45 and 467.68 is: 641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.16 : 719.45 = 467.68 : x
  2. Step 2: Convert to fraction form
    524.16/719.45 = 467.68/x
  3. Step 3: Cross multiply
    524.16x = 719.45 × 467.68
  4. Step 4: Simplify right side
    524.16x = 336,472.38
  5. Step 5: Solve for x
    x = 336,472.38/524.16
  6. Step 6: Final answer
    x = 641.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.