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Finding the Fourth Proportional to 929.64, 1,394.18 and 313.17

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Solution

The fourth proportional to 929.64, 1,394.18 and 313.17 is: 469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.64 : 1,394.18 = 313.17 : x
  2. Step 2: Convert to fraction form
    929.64/1,394.18 = 313.17/x
  3. Step 3: Cross multiply
    929.64x = 1,394.18 × 313.17
  4. Step 4: Simplify right side
    929.64x = 436,613.78
  5. Step 5: Solve for x
    x = 436,613.78/929.64
  6. Step 6: Final answer
    x = 469.66

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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.