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Finding the Fourth Proportional to 407.64, 562.56 and 260.16

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Solution

The fourth proportional to 407.64, 562.56 and 260.16 is: 359.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.64 : 562.56 = 260.16 : x
  2. Step 2: Convert to fraction form
    407.64/562.56 = 260.16/x
  3. Step 3: Cross multiply
    407.64x = 562.56 × 260.16
  4. Step 4: Simplify right side
    407.64x = 146,355.61
  5. Step 5: Solve for x
    x = 146,355.61/407.64
  6. Step 6: Final answer
    x = 359.03

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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.