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Finding the Fourth Proportional to 557.32, 830.33 and 529.78

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Solution

The fourth proportional to 557.32, 830.33 and 529.78 is: 789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.32 : 830.33 = 529.78 : x
  2. Step 2: Convert to fraction form
    557.32/830.33 = 529.78/x
  3. Step 3: Cross multiply
    557.32x = 830.33 × 529.78
  4. Step 4: Simplify right side
    557.32x = 439,892.23
  5. Step 5: Solve for x
    x = 439,892.23/557.32
  6. Step 6: Final answer
    x = 789.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.