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Finding the Fourth Proportional to 577.34, 864.12 and 316.68

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Solution

The fourth proportional to 577.34, 864.12 and 316.68 is: 473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.34 : 864.12 = 316.68 : x
  2. Step 2: Convert to fraction form
    577.34/864.12 = 316.68/x
  3. Step 3: Cross multiply
    577.34x = 864.12 × 316.68
  4. Step 4: Simplify right side
    577.34x = 273,649.52
  5. Step 5: Solve for x
    x = 273,649.52/577.34
  6. Step 6: Final answer
    x = 473.99

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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.