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Finding the Fourth Proportional to 558.95, 772.10 and 429.58

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Solution

The fourth proportional to 558.95, 772.10 and 429.58 is: 593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.95 : 772.10 = 429.58 : x
  2. Step 2: Convert to fraction form
    558.95/772.10 = 429.58/x
  3. Step 3: Cross multiply
    558.95x = 772.10 × 429.58
  4. Step 4: Simplify right side
    558.95x = 331,675.93
  5. Step 5: Solve for x
    x = 331,675.93/558.95
  6. Step 6: Final answer
    x = 593.39

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Why These Related Problems?

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