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Finding the Fourth Proportional to 407.66, 562.43 and 260.38

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Solution

The fourth proportional to 407.66, 562.43 and 260.38 is: 359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.66 : 562.43 = 260.38 : x
  2. Step 2: Convert to fraction form
    407.66/562.43 = 260.38/x
  3. Step 3: Cross multiply
    407.66x = 562.43 × 260.38
  4. Step 4: Simplify right side
    407.66x = 146,444.14
  5. Step 5: Solve for x
    x = 146,444.14/407.66
  6. Step 6: Final answer
    x = 359.23

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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.