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Finding the Fourth Proportional to 929.71, 1,393.60 and 313.20

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Solution

The fourth proportional to 929.71, 1,393.60 and 313.20 is: 469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.71 : 1,393.60 = 313.20 : x
  2. Step 2: Convert to fraction form
    929.71/1,393.60 = 313.20/x
  3. Step 3: Cross multiply
    929.71x = 1,393.60 × 313.20
  4. Step 4: Simplify right side
    929.71x = 436,479.99
  5. Step 5: Solve for x
    x = 436,479.99/929.71
  6. Step 6: Final answer
    x = 469.48

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