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Finding the Fourth Proportional to 583.43, 805.01 and 509.31

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Solution

The fourth proportional to 583.43, 805.01 and 509.31 is: 702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.43 : 805.01 = 509.31 : x
  2. Step 2: Convert to fraction form
    583.43/805.01 = 509.31/x
  3. Step 3: Cross multiply
    583.43x = 805.01 × 509.31
  4. Step 4: Simplify right side
    583.43x = 409,997.10
  5. Step 5: Solve for x
    x = 409,997.10/583.43
  6. Step 6: Final answer
    x = 702.74

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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.