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Finding the Fourth Proportional to 705.35, 1,058.24 and 340.15

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Solution

The fourth proportional to 705.35, 1,058.24 and 340.15 is: 510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.35 : 1,058.24 = 340.15 : x
  2. Step 2: Convert to fraction form
    705.35/1,058.24 = 340.15/x
  3. Step 3: Cross multiply
    705.35x = 1,058.24 × 340.15
  4. Step 4: Simplify right side
    705.35x = 359,960.34
  5. Step 5: Solve for x
    x = 359,960.34/705.35
  6. Step 6: Final answer
    x = 510.33

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Why These Related Problems?

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