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Finding the Fourth Proportional to 407.82, 562.70 and 260.67

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Solution

The fourth proportional to 407.82, 562.70 and 260.67 is: 359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.82 : 562.70 = 260.67 : x
  2. Step 2: Convert to fraction form
    407.82/562.70 = 260.67/x
  3. Step 3: Cross multiply
    407.82x = 562.70 × 260.67
  4. Step 4: Simplify right side
    407.82x = 146,677.71
  5. Step 5: Solve for x
    x = 146,677.71/407.82
  6. Step 6: Final answer
    x = 359.66

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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.