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Finding the Fourth Proportional to 525.65, 787.55 and 469.15

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Solution

The fourth proportional to 525.65, 787.55 and 469.15 is: 702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.65 : 787.55 = 469.15 : x
  2. Step 2: Convert to fraction form
    525.65/787.55 = 469.15/x
  3. Step 3: Cross multiply
    525.65x = 787.55 × 469.15
  4. Step 4: Simplify right side
    525.65x = 369,475.14
  5. Step 5: Solve for x
    x = 369,475.14/525.65
  6. Step 6: Final answer
    x = 702.90

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