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Finding the Fourth Proportional to 558.04, 839.52 and 477.84

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Solution

The fourth proportional to 558.04, 839.52 and 477.84 is: 718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.04 : 839.52 = 477.84 : x
  2. Step 2: Convert to fraction form
    558.04/839.52 = 477.84/x
  3. Step 3: Cross multiply
    558.04x = 839.52 × 477.84
  4. Step 4: Simplify right side
    558.04x = 401,156.24
  5. Step 5: Solve for x
    x = 401,156.24/558.04
  6. Step 6: Final answer
    x = 718.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.