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Finding the Fourth Proportional to 583.38, 870.84 and 532.35

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Solution

The fourth proportional to 583.38, 870.84 and 532.35 is: 794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.38 : 870.84 = 532.35 : x
  2. Step 2: Convert to fraction form
    583.38/870.84 = 532.35/x
  3. Step 3: Cross multiply
    583.38x = 870.84 × 532.35
  4. Step 4: Simplify right side
    583.38x = 463,591.67
  5. Step 5: Solve for x
    x = 463,591.67/583.38
  6. Step 6: Final answer
    x = 794.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.