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Finding the Fourth Proportional to 510.94, 705.10 and 278.06

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Solution

The fourth proportional to 510.94, 705.10 and 278.06 is: 383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.94 : 705.10 = 278.06 : x
  2. Step 2: Convert to fraction form
    510.94/705.10 = 278.06/x
  3. Step 3: Cross multiply
    510.94x = 705.10 × 278.06
  4. Step 4: Simplify right side
    510.94x = 196,060.11
  5. Step 5: Solve for x
    x = 196,060.11/510.94
  6. Step 6: Final answer
    x = 383.72

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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.