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Finding the Fourth Proportional to 561.96, 838.98 and 557.88

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Solution

The fourth proportional to 561.96, 838.98 and 557.88 is: 832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.96 : 838.98 = 557.88 : x
  2. Step 2: Convert to fraction form
    561.96/838.98 = 557.88/x
  3. Step 3: Cross multiply
    561.96x = 838.98 × 557.88
  4. Step 4: Simplify right side
    561.96x = 468,050.16
  5. Step 5: Solve for x
    x = 468,050.16/561.96
  6. Step 6: Final answer
    x = 832.89

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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.