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Finding the Fourth Proportional to 560.04, 834.56 and 523.59

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Solution

The fourth proportional to 560.04, 834.56 and 523.59 is: 780.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.04 : 834.56 = 523.59 : x
  2. Step 2: Convert to fraction form
    560.04/834.56 = 523.59/x
  3. Step 3: Cross multiply
    560.04x = 834.56 × 523.59
  4. Step 4: Simplify right side
    560.04x = 436,964.65
  5. Step 5: Solve for x
    x = 436,964.65/560.04
  6. Step 6: Final answer
    x = 780.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.