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Finding the Fourth Proportional to 525.74, 787.52 and 410.06

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Solution

The fourth proportional to 525.74, 787.52 and 410.06 is: 614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.74 : 787.52 = 410.06 : x
  2. Step 2: Convert to fraction form
    525.74/787.52 = 410.06/x
  3. Step 3: Cross multiply
    525.74x = 787.52 × 410.06
  4. Step 4: Simplify right side
    525.74x = 322,927.54
  5. Step 5: Solve for x
    x = 322,927.54/525.74
  6. Step 6: Final answer
    x = 614.24

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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.