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Finding the Fourth Proportional to 537.65, 744.84 and 524.89

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Solution

The fourth proportional to 537.65, 744.84 and 524.89 is: 727.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.65 : 744.84 = 524.89 : x
  2. Step 2: Convert to fraction form
    537.65/744.84 = 524.89/x
  3. Step 3: Cross multiply
    537.65x = 744.84 × 524.89
  4. Step 4: Simplify right side
    537.65x = 390,959.07
  5. Step 5: Solve for x
    x = 390,959.07/537.65
  6. Step 6: Final answer
    x = 727.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.