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Finding the Fourth Proportional to 505.93, 698.18 and 284.88

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Solution

The fourth proportional to 505.93, 698.18 and 284.88 is: 393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.93 : 698.18 = 284.88 : x
  2. Step 2: Convert to fraction form
    505.93/698.18 = 284.88/x
  3. Step 3: Cross multiply
    505.93x = 698.18 × 284.88
  4. Step 4: Simplify right side
    505.93x = 198,897.52
  5. Step 5: Solve for x
    x = 198,897.52/505.93
  6. Step 6: Final answer
    x = 393.13

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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.