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Finding the Fourth Proportional to 626.19, 864.14 and 429.77

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Solution

The fourth proportional to 626.19, 864.14 and 429.77 is: 593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.19 : 864.14 = 429.77 : x
  2. Step 2: Convert to fraction form
    626.19/864.14 = 429.77/x
  3. Step 3: Cross multiply
    626.19x = 864.14 × 429.77
  4. Step 4: Simplify right side
    626.19x = 371,374.98
  5. Step 5: Solve for x
    x = 371,374.98/626.19
  6. Step 6: Final answer
    x = 593.07

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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.