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Finding the Fourth Proportional to 623.80, 861.04 and 402.76

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Solution

The fourth proportional to 623.80, 861.04 and 402.76 is: 555.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.80 : 861.04 = 402.76 : x
  2. Step 2: Convert to fraction form
    623.80/861.04 = 402.76/x
  3. Step 3: Cross multiply
    623.80x = 861.04 × 402.76
  4. Step 4: Simplify right side
    623.80x = 346,792.47
  5. Step 5: Solve for x
    x = 346,792.47/623.80
  6. Step 6: Final answer
    x = 555.94

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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.