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Finding the Fourth Proportional to 929.18, 1,393.82 and 312.91

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Solution

The fourth proportional to 929.18, 1,393.82 and 312.91 is: 469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.18 : 1,393.82 = 312.91 : x
  2. Step 2: Convert to fraction form
    929.18/1,393.82 = 312.91/x
  3. Step 3: Cross multiply
    929.18x = 1,393.82 × 312.91
  4. Step 4: Simplify right side
    929.18x = 436,137.51
  5. Step 5: Solve for x
    x = 436,137.51/929.18
  6. Step 6: Final answer
    x = 469.38

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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.