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Finding the Fourth Proportional to 514.65, 710.24 and 290.60

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Solution

The fourth proportional to 514.65, 710.24 and 290.60 is: 401.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.65 : 710.24 = 290.60 : x
  2. Step 2: Convert to fraction form
    514.65/710.24 = 290.60/x
  3. Step 3: Cross multiply
    514.65x = 710.24 × 290.60
  4. Step 4: Simplify right side
    514.65x = 206,395.74
  5. Step 5: Solve for x
    x = 206,395.74/514.65
  6. Step 6: Final answer
    x = 401.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.