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Finding the Fourth Proportional to 929.05, 1,393.72 and 312.71

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Solution

The fourth proportional to 929.05, 1,393.72 and 312.71 is: 469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.05 : 1,393.72 = 312.71 : x
  2. Step 2: Convert to fraction form
    929.05/1,393.72 = 312.71/x
  3. Step 3: Cross multiply
    929.05x = 1,393.72 × 312.71
  4. Step 4: Simplify right side
    929.05x = 435,825.63
  5. Step 5: Solve for x
    x = 435,825.63/929.05
  6. Step 6: Final answer
    x = 469.11

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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.