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Finding the Fourth Proportional to 588.71, 880.64 and 535.25

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Solution

The fourth proportional to 588.71, 880.64 and 535.25 is: 800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.71 : 880.64 = 535.25 : x
  2. Step 2: Convert to fraction form
    588.71/880.64 = 535.25/x
  3. Step 3: Cross multiply
    588.71x = 880.64 × 535.25
  4. Step 4: Simplify right side
    588.71x = 471,362.09
  5. Step 5: Solve for x
    x = 471,362.09/588.71
  6. Step 6: Final answer
    x = 800.67

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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.