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Finding the Fourth Proportional to 583.11, 805.07 and 406.01

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Solution

The fourth proportional to 583.11, 805.07 and 406.01 is: 560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.11 : 805.07 = 406.01 : x
  2. Step 2: Convert to fraction form
    583.11/805.07 = 406.01/x
  3. Step 3: Cross multiply
    583.11x = 805.07 × 406.01
  4. Step 4: Simplify right side
    583.11x = 326,866.47
  5. Step 5: Solve for x
    x = 326,866.47/583.11
  6. Step 6: Final answer
    x = 560.56

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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.