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Finding the Fourth Proportional to 583.18, 805.88 and 417.94

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Solution

The fourth proportional to 583.18, 805.88 and 417.94 is: 577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.18 : 805.88 = 417.94 : x
  2. Step 2: Convert to fraction form
    583.18/805.88 = 417.94/x
  3. Step 3: Cross multiply
    583.18x = 805.88 × 417.94
  4. Step 4: Simplify right side
    583.18x = 336,809.49
  5. Step 5: Solve for x
    x = 336,809.49/583.18
  6. Step 6: Final answer
    x = 577.54

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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.