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Finding the Fourth Proportional to 610.29, 910.95 and 537.39

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Solution

The fourth proportional to 610.29, 910.95 and 537.39 is: 802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.29 : 910.95 = 537.39 : x
  2. Step 2: Convert to fraction form
    610.29/910.95 = 537.39/x
  3. Step 3: Cross multiply
    610.29x = 910.95 × 537.39
  4. Step 4: Simplify right side
    610.29x = 489,535.42
  5. Step 5: Solve for x
    x = 489,535.42/610.29
  6. Step 6: Final answer
    x = 802.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.