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Finding the Fourth Proportional to 581.63, 870.35 and 349.70

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Solution

The fourth proportional to 581.63, 870.35 and 349.70 is: 523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.63 : 870.35 = 349.70 : x
  2. Step 2: Convert to fraction form
    581.63/870.35 = 349.70/x
  3. Step 3: Cross multiply
    581.63x = 870.35 × 349.70
  4. Step 4: Simplify right side
    581.63x = 304,355.29
  5. Step 5: Solve for x
    x = 304,355.29/581.63
  6. Step 6: Final answer
    x = 523.28

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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.