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Finding the Fourth Proportional to 615.87, 850.50 and 429.10

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Solution

The fourth proportional to 615.87, 850.50 and 429.10 is: 592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.87 : 850.50 = 429.10 : x
  2. Step 2: Convert to fraction form
    615.87/850.50 = 429.10/x
  3. Step 3: Cross multiply
    615.87x = 850.50 × 429.10
  4. Step 4: Simplify right side
    615.87x = 364,947.42
  5. Step 5: Solve for x
    x = 364,947.42/615.87
  6. Step 6: Final answer
    x = 592.57

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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.