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Finding the Fourth Proportional to 583.46, 805.22 and 432.20

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Solution

The fourth proportional to 583.46, 805.22 and 432.20 is: 596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.46 : 805.22 = 432.20 : x
  2. Step 2: Convert to fraction form
    583.46/805.22 = 432.20/x
  3. Step 3: Cross multiply
    583.46x = 805.22 × 432.20
  4. Step 4: Simplify right side
    583.46x = 348,009.90
  5. Step 5: Solve for x
    x = 348,009.90/583.46
  6. Step 6: Final answer
    x = 596.46

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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.