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Finding the Fourth Proportional to 510.48, 761.78 and 469.12

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Solution

The fourth proportional to 510.48, 761.78 and 469.12 is: 700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.48 : 761.78 = 469.12 : x
  2. Step 2: Convert to fraction form
    510.48/761.78 = 469.12/x
  3. Step 3: Cross multiply
    510.48x = 761.78 × 469.12
  4. Step 4: Simplify right side
    510.48x = 357,366.23
  5. Step 5: Solve for x
    x = 357,366.23/510.48
  6. Step 6: Final answer
    x = 700.06

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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.