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Finding the Fourth Proportional to 407.97, 562.50 and 260.64

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Solution

The fourth proportional to 407.97, 562.50 and 260.64 is: 359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.97 : 562.50 = 260.64 : x
  2. Step 2: Convert to fraction form
    407.97/562.50 = 260.64/x
  3. Step 3: Cross multiply
    407.97x = 562.50 × 260.64
  4. Step 4: Simplify right side
    407.97x = 146,610
  5. Step 5: Solve for x
    x = 146,610/407.97
  6. Step 6: Final answer
    x = 359.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.