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Finding the Fourth Proportional to 613.80, 924.03 and 470.16

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Solution

The fourth proportional to 613.80, 924.03 and 470.16 is: 707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.80 : 924.03 = 470.16 : x
  2. Step 2: Convert to fraction form
    613.80/924.03 = 470.16/x
  3. Step 3: Cross multiply
    613.80x = 924.03 × 470.16
  4. Step 4: Simplify right side
    613.80x = 434,441.94
  5. Step 5: Solve for x
    x = 434,441.94/613.80
  6. Step 6: Final answer
    x = 707.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.