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Finding the Fourth Proportional to 860.57, 1,291.41 and 312.70

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Solution

The fourth proportional to 860.57, 1,291.41 and 312.70 is: 469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.57 : 1,291.41 = 312.70 : x
  2. Step 2: Convert to fraction form
    860.57/1,291.41 = 312.70/x
  3. Step 3: Cross multiply
    860.57x = 1,291.41 × 312.70
  4. Step 4: Simplify right side
    860.57x = 403,822.34
  5. Step 5: Solve for x
    x = 403,822.34/860.57
  6. Step 6: Final answer
    x = 469.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.