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Finding the Fourth Proportional to 561.27, 841.92 and 304.77

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Solution

The fourth proportional to 561.27, 841.92 and 304.77 is: 457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.27 : 841.92 = 304.77 : x
  2. Step 2: Convert to fraction form
    561.27/841.92 = 304.77/x
  3. Step 3: Cross multiply
    561.27x = 841.92 × 304.77
  4. Step 4: Simplify right side
    561.27x = 256,591.96
  5. Step 5: Solve for x
    x = 256,591.96/561.27
  6. Step 6: Final answer
    x = 457.16

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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.