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Finding the Fourth Proportional to 652.01, 900.41 and 558.22

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Solution

The fourth proportional to 652.01, 900.41 and 558.22 is: 770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.01 : 900.41 = 558.22 : x
  2. Step 2: Convert to fraction form
    652.01/900.41 = 558.22/x
  3. Step 3: Cross multiply
    652.01x = 900.41 × 558.22
  4. Step 4: Simplify right side
    652.01x = 502,626.87
  5. Step 5: Solve for x
    x = 502,626.87/652.01
  6. Step 6: Final answer
    x = 770.89

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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.