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Finding the Fourth Proportional to 584.04, 805.92 and 347.95

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Solution

The fourth proportional to 584.04, 805.92 and 347.95 is: 480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.04 : 805.92 = 347.95 : x
  2. Step 2: Convert to fraction form
    584.04/805.92 = 347.95/x
  3. Step 3: Cross multiply
    584.04x = 805.92 × 347.95
  4. Step 4: Simplify right side
    584.04x = 280,417.97
  5. Step 5: Solve for x
    x = 280,417.97/584.04
  6. Step 6: Final answer
    x = 480.14

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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.