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Finding the Fourth Proportional to 407.86, 562.54 and 260.36

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Solution

The fourth proportional to 407.86, 562.54 and 260.36 is: 359.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.86 : 562.54 = 260.36 : x
  2. Step 2: Convert to fraction form
    407.86/562.54 = 260.36/x
  3. Step 3: Cross multiply
    407.86x = 562.54 × 260.36
  4. Step 4: Simplify right side
    407.86x = 146,462.91
  5. Step 5: Solve for x
    x = 146,462.91/407.86
  6. Step 6: Final answer
    x = 359.10

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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.