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Finding the Fourth Proportional to 622.04, 932.04 and 313.58

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Solution

The fourth proportional to 622.04, 932.04 and 313.58 is: 469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.04 : 932.04 = 313.58 : x
  2. Step 2: Convert to fraction form
    622.04/932.04 = 313.58/x
  3. Step 3: Cross multiply
    622.04x = 932.04 × 313.58
  4. Step 4: Simplify right side
    622.04x = 292,269.10
  5. Step 5: Solve for x
    x = 292,269.10/622.04
  6. Step 6: Final answer
    x = 469.86

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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.