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Finding the Fourth Proportional to 316.48, 473.64 and 291.28

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Solution

The fourth proportional to 316.48, 473.64 and 291.28 is: 435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.48 : 473.64 = 291.28 : x
  2. Step 2: Convert to fraction form
    316.48/473.64 = 291.28/x
  3. Step 3: Cross multiply
    316.48x = 473.64 × 291.28
  4. Step 4: Simplify right side
    316.48x = 137,961.86
  5. Step 5: Solve for x
    x = 137,961.86/316.48
  6. Step 6: Final answer
    x = 435.93

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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.