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Finding the Fourth Proportional to 550.07, 758.59 and 410.53

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Solution

The fourth proportional to 550.07, 758.59 and 410.53 is: 566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.07 : 758.59 = 410.53 : x
  2. Step 2: Convert to fraction form
    550.07/758.59 = 410.53/x
  3. Step 3: Cross multiply
    550.07x = 758.59 × 410.53
  4. Step 4: Simplify right side
    550.07x = 311,423.95
  5. Step 5: Solve for x
    x = 311,423.95/550.07
  6. Step 6: Final answer
    x = 566.15

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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.