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Finding the Fourth Proportional to 510.97, 705.14 and 278.10

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Solution

The fourth proportional to 510.97, 705.14 and 278.10 is: 383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.97 : 705.14 = 278.10 : x
  2. Step 2: Convert to fraction form
    510.97/705.14 = 278.10/x
  3. Step 3: Cross multiply
    510.97x = 705.14 × 278.10
  4. Step 4: Simplify right side
    510.97x = 196,094.52
  5. Step 5: Solve for x
    x = 196,094.52/510.97
  6. Step 6: Final answer
    x = 383.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.