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Finding the Fourth Proportional to 583.78, 805.88 and 347.81

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Solution

The fourth proportional to 583.78, 805.88 and 347.81 is: 480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.78 : 805.88 = 347.81 : x
  2. Step 2: Convert to fraction form
    583.78/805.88 = 347.81/x
  3. Step 3: Cross multiply
    583.78x = 805.88 × 347.81
  4. Step 4: Simplify right side
    583.78x = 280,287.35
  5. Step 5: Solve for x
    x = 280,287.35/583.78
  6. Step 6: Final answer
    x = 480.13

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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.