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Finding the Fourth Proportional to 477.65, 659.15 and 281.18

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Solution

The fourth proportional to 477.65, 659.15 and 281.18 is: 388.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.65 : 659.15 = 281.18 : x
  2. Step 2: Convert to fraction form
    477.65/659.15 = 281.18/x
  3. Step 3: Cross multiply
    477.65x = 659.15 × 281.18
  4. Step 4: Simplify right side
    477.65x = 185,335.10
  5. Step 5: Solve for x
    x = 185,335.10/477.65
  6. Step 6: Final answer
    x = 388.01

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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.