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Finding the Fourth Proportional to 580.70, 870.78 and 349.94

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Solution

The fourth proportional to 580.70, 870.78 and 349.94 is: 524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.70 : 870.78 = 349.94 : x
  2. Step 2: Convert to fraction form
    580.70/870.78 = 349.94/x
  3. Step 3: Cross multiply
    580.70x = 870.78 × 349.94
  4. Step 4: Simplify right side
    580.70x = 304,720.75
  5. Step 5: Solve for x
    x = 304,720.75/580.70
  6. Step 6: Final answer
    x = 524.75

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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.