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Finding the Fourth Proportional to 583.75, 805.06 and 417.61

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Solution

The fourth proportional to 583.75, 805.06 and 417.61 is: 575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.75 : 805.06 = 417.61 : x
  2. Step 2: Convert to fraction form
    583.75/805.06 = 417.61/x
  3. Step 3: Cross multiply
    583.75x = 805.06 × 417.61
  4. Step 4: Simplify right side
    583.75x = 336,201.11
  5. Step 5: Solve for x
    x = 336,201.11/583.75
  6. Step 6: Final answer
    x = 575.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.