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Finding the Fourth Proportional to 705.11, 1,058.34 and 340.15

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Solution

The fourth proportional to 705.11, 1,058.34 and 340.15 is: 510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.11 : 1,058.34 = 340.15 : x
  2. Step 2: Convert to fraction form
    705.11/1,058.34 = 340.15/x
  3. Step 3: Cross multiply
    705.11x = 1,058.34 × 340.15
  4. Step 4: Simplify right side
    705.11x = 359,994.01
  5. Step 5: Solve for x
    x = 359,994.01/705.11
  6. Step 6: Final answer
    x = 510.55

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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.