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Finding the Fourth Proportional to 407.88, 562.82 and 242.15

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Solution

The fourth proportional to 407.88, 562.82 and 242.15 is: 334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.88 : 562.82 = 242.15 : x
  2. Step 2: Convert to fraction form
    407.88/562.82 = 242.15/x
  3. Step 3: Cross multiply
    407.88x = 562.82 × 242.15
  4. Step 4: Simplify right side
    407.88x = 136,282.84
  5. Step 5: Solve for x
    x = 136,282.84/407.88
  6. Step 6: Final answer
    x = 334.12

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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.