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Finding the Fourth Proportional to 316.24, 473.06 and 260.78

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Solution

The fourth proportional to 316.24, 473.06 and 260.78 is: 390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.24 : 473.06 = 260.78 : x
  2. Step 2: Convert to fraction form
    316.24/473.06 = 260.78/x
  3. Step 3: Cross multiply
    316.24x = 473.06 × 260.78
  4. Step 4: Simplify right side
    316.24x = 123,364.59
  5. Step 5: Solve for x
    x = 123,364.59/316.24
  6. Step 6: Final answer
    x = 390.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.