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Finding the Fourth Proportional to 407.90, 562.66 and 260.37

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Solution

The fourth proportional to 407.90, 562.66 and 260.37 is: 359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.90 : 562.66 = 260.37 : x
  2. Step 2: Convert to fraction form
    407.90/562.66 = 260.37/x
  3. Step 3: Cross multiply
    407.90x = 562.66 × 260.37
  4. Step 4: Simplify right side
    407.90x = 146,498.65
  5. Step 5: Solve for x
    x = 146,498.65/407.90
  6. Step 6: Final answer
    x = 359.15

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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.