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Finding the Fourth Proportional to 588.77, 810.65 and 500.07

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Solution

The fourth proportional to 588.77, 810.65 and 500.07 is: 688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.77 : 810.65 = 500.07 : x
  2. Step 2: Convert to fraction form
    588.77/810.65 = 500.07/x
  3. Step 3: Cross multiply
    588.77x = 810.65 × 500.07
  4. Step 4: Simplify right side
    588.77x = 405,381.75
  5. Step 5: Solve for x
    x = 405,381.75/588.77
  6. Step 6: Final answer
    x = 688.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.