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Finding the Fourth Proportional to 657.56, 908.34 and 570.08

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Solution

The fourth proportional to 657.56, 908.34 and 570.08 is: 787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.56 : 908.34 = 570.08 : x
  2. Step 2: Convert to fraction form
    657.56/908.34 = 570.08/x
  3. Step 3: Cross multiply
    657.56x = 908.34 × 570.08
  4. Step 4: Simplify right side
    657.56x = 517,826.47
  5. Step 5: Solve for x
    x = 517,826.47/657.56
  6. Step 6: Final answer
    x = 787.50

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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.