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Finding the Fourth Proportional to 570.95, 787.17 and 468.25

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Solution

The fourth proportional to 570.95, 787.17 and 468.25 is: 645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.95 : 787.17 = 468.25 : x
  2. Step 2: Convert to fraction form
    570.95/787.17 = 468.25/x
  3. Step 3: Cross multiply
    570.95x = 787.17 × 468.25
  4. Step 4: Simplify right side
    570.95x = 368,591.24
  5. Step 5: Solve for x
    x = 368,591.24/570.95
  6. Step 6: Final answer
    x = 645.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.