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Finding the Fourth Proportional to 583.16, 805.85 and 473.21

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Solution

The fourth proportional to 583.16, 805.85 and 473.21 is: 653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.16 : 805.85 = 473.21 : x
  2. Step 2: Convert to fraction form
    583.16/805.85 = 473.21/x
  3. Step 3: Cross multiply
    583.16x = 805.85 × 473.21
  4. Step 4: Simplify right side
    583.16x = 381,329.88
  5. Step 5: Solve for x
    x = 381,329.88/583.16
  6. Step 6: Final answer
    x = 653.91

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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.