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Finding the Fourth Proportional to 588.32, 803.62 and 583.52

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Solution

The fourth proportional to 588.32, 803.62 and 583.52 is: 797.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.32 : 803.62 = 583.52 : x
  2. Step 2: Convert to fraction form
    588.32/803.62 = 583.52/x
  3. Step 3: Cross multiply
    588.32x = 803.62 × 583.52
  4. Step 4: Simplify right side
    588.32x = 468,928.34
  5. Step 5: Solve for x
    x = 468,928.34/588.32
  6. Step 6: Final answer
    x = 797.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.