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Finding the Fourth Proportional to 558.99, 772.15 and 466.04

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Solution

The fourth proportional to 558.99, 772.15 and 466.04 is: 643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.99 : 772.15 = 466.04 : x
  2. Step 2: Convert to fraction form
    558.99/772.15 = 466.04/x
  3. Step 3: Cross multiply
    558.99x = 772.15 × 466.04
  4. Step 4: Simplify right side
    558.99x = 359,850.46
  5. Step 5: Solve for x
    x = 359,850.46/558.99
  6. Step 6: Final answer
    x = 643.75

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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.