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Finding the Fourth Proportional to 477.58, 659.17 and 281.16

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Solution

The fourth proportional to 477.58, 659.17 and 281.16 is: 388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.58 : 659.17 = 281.16 : x
  2. Step 2: Convert to fraction form
    477.58/659.17 = 281.16/x
  3. Step 3: Cross multiply
    477.58x = 659.17 × 281.16
  4. Step 4: Simplify right side
    477.58x = 185,332.24
  5. Step 5: Solve for x
    x = 185,332.24/477.58
  6. Step 6: Final answer
    x = 388.07

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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.