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Finding the Fourth Proportional to 557.03, 834.95 and 402.89

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Solution

The fourth proportional to 557.03, 834.95 and 402.89 is: 603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.03 : 834.95 = 402.89 : x
  2. Step 2: Convert to fraction form
    557.03/834.95 = 402.89/x
  3. Step 3: Cross multiply
    557.03x = 834.95 × 402.89
  4. Step 4: Simplify right side
    557.03x = 336,389.84
  5. Step 5: Solve for x
    x = 336,389.84/557.03
  6. Step 6: Final answer
    x = 603.90

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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.