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Finding the Fourth Proportional to 407.74, 562.59 and 242.00

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Solution

The fourth proportional to 407.74, 562.59 and 242.00 is: 333.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.74 : 562.59 = 242.00 : x
  2. Step 2: Convert to fraction form
    407.74/562.59 = 242.00/x
  3. Step 3: Cross multiply
    407.74x = 562.59 × 242.00
  4. Step 4: Simplify right side
    407.74x = 136,148.19
  5. Step 5: Solve for x
    x = 136,148.19/407.74
  6. Step 6: Final answer
    x = 333.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.