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Finding the Fourth Proportional to 407.83, 562.22 and 260.35

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Solution

The fourth proportional to 407.83, 562.22 and 260.35 is: 358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.83 : 562.22 = 260.35 : x
  2. Step 2: Convert to fraction form
    407.83/562.22 = 260.35/x
  3. Step 3: Cross multiply
    407.83x = 562.22 × 260.35
  4. Step 4: Simplify right side
    407.83x = 146,372.68
  5. Step 5: Solve for x
    x = 146,372.68/407.83
  6. Step 6: Final answer
    x = 358.91

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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.