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Finding the Fourth Proportional to 359.60, 537.46 and 256.18

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Solution

The fourth proportional to 359.60, 537.46 and 256.18 is: 382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.60 : 537.46 = 256.18 : x
  2. Step 2: Convert to fraction form
    359.60/537.46 = 256.18/x
  3. Step 3: Cross multiply
    359.60x = 537.46 × 256.18
  4. Step 4: Simplify right side
    359.60x = 137,686.50
  5. Step 5: Solve for x
    x = 137,686.50/359.60
  6. Step 6: Final answer
    x = 382.89

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Why These Related Problems?

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