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Finding the Fourth Proportional to 407.69, 562.61 and 242.03

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Solution

The fourth proportional to 407.69, 562.61 and 242.03 is: 334.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.69 : 562.61 = 242.03 : x
  2. Step 2: Convert to fraction form
    407.69/562.61 = 242.03/x
  3. Step 3: Cross multiply
    407.69x = 562.61 × 242.03
  4. Step 4: Simplify right side
    407.69x = 136,166.29
  5. Step 5: Solve for x
    x = 136,166.29/407.69
  6. Step 6: Final answer
    x = 334.00

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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.