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Finding the Fourth Proportional to 583.76, 805.48 and 387.16

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Solution

The fourth proportional to 583.76, 805.48 and 387.16 is: 534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.76 : 805.48 = 387.16 : x
  2. Step 2: Convert to fraction form
    583.76/805.48 = 387.16/x
  3. Step 3: Cross multiply
    583.76x = 805.48 × 387.16
  4. Step 4: Simplify right side
    583.76x = 311,846.66
  5. Step 5: Solve for x
    x = 311,846.66/583.76
  6. Step 6: Final answer
    x = 534.20

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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.