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Finding the Fourth Proportional to 583.46, 805.27 and 396.82

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Solution

The fourth proportional to 583.46, 805.27 and 396.82 is: 547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.46 : 805.27 = 396.82 : x
  2. Step 2: Convert to fraction form
    583.46/805.27 = 396.82/x
  3. Step 3: Cross multiply
    583.46x = 805.27 × 396.82
  4. Step 4: Simplify right side
    583.46x = 319,547.24
  5. Step 5: Solve for x
    x = 319,547.24/583.46
  6. Step 6: Final answer
    x = 547.68

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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.