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Finding the Fourth Proportional to 622.48, 933.04 and 313.72

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Solution

The fourth proportional to 622.48, 933.04 and 313.72 is: 470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.48 : 933.04 = 313.72 : x
  2. Step 2: Convert to fraction form
    622.48/933.04 = 313.72/x
  3. Step 3: Cross multiply
    622.48x = 933.04 × 313.72
  4. Step 4: Simplify right side
    622.48x = 292,713.31
  5. Step 5: Solve for x
    x = 292,713.31/622.48
  6. Step 6: Final answer
    x = 470.24

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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.