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Finding the Fourth Proportional to 340.85, 510.71 and 210.57

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Solution

The fourth proportional to 340.85, 510.71 and 210.57 is: 315.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.85 : 510.71 = 210.57 : x
  2. Step 2: Convert to fraction form
    340.85/510.71 = 210.57/x
  3. Step 3: Cross multiply
    340.85x = 510.71 × 210.57
  4. Step 4: Simplify right side
    340.85x = 107,539.15
  5. Step 5: Solve for x
    x = 107,539.15/340.85
  6. Step 6: Final answer
    x = 315.51

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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.