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Finding the Fourth Proportional to 510.01, 703.76 and 288.95

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Solution

The fourth proportional to 510.01, 703.76 and 288.95 is: 398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.01 : 703.76 = 288.95 : x
  2. Step 2: Convert to fraction form
    510.01/703.76 = 288.95/x
  3. Step 3: Cross multiply
    510.01x = 703.76 × 288.95
  4. Step 4: Simplify right side
    510.01x = 203,351.45
  5. Step 5: Solve for x
    x = 203,351.45/510.01
  6. Step 6: Final answer
    x = 398.72

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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.