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Finding the Fourth Proportional to 407.42, 562.31 and 260.01

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Solution

The fourth proportional to 407.42, 562.31 and 260.01 is: 358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.42 : 562.31 = 260.01 : x
  2. Step 2: Convert to fraction form
    407.42/562.31 = 260.01/x
  3. Step 3: Cross multiply
    407.42x = 562.31 × 260.01
  4. Step 4: Simplify right side
    407.42x = 146,204.92
  5. Step 5: Solve for x
    x = 146,204.92/407.42
  6. Step 6: Final answer
    x = 358.86

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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.