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Finding the Fourth Proportional to 608.64, 909 and 557.64

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Solution

The fourth proportional to 608.64, 909 and 557.64 is: 832.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.64 : 909 = 557.64 : x
  2. Step 2: Convert to fraction form
    608.64/909 = 557.64/x
  3. Step 3: Cross multiply
    608.64x = 909 × 557.64
  4. Step 4: Simplify right side
    608.64x = 506,894.76
  5. Step 5: Solve for x
    x = 506,894.76/608.64
  6. Step 6: Final answer
    x = 832.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.