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Finding the Fourth Proportional to 588.47, 880.26 and 535.01

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Solution

The fourth proportional to 588.47, 880.26 and 535.01 is: 800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.47 : 880.26 = 535.01 : x
  2. Step 2: Convert to fraction form
    588.47/880.26 = 535.01/x
  3. Step 3: Cross multiply
    588.47x = 880.26 × 535.01
  4. Step 4: Simplify right side
    588.47x = 470,943.50
  5. Step 5: Solve for x
    x = 470,943.50/588.47
  6. Step 6: Final answer
    x = 800.29

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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.