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Finding the Fourth Proportional to 505.84, 698.02 and 284.75

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Solution

The fourth proportional to 505.84, 698.02 and 284.75 is: 392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.84 : 698.02 = 284.75 : x
  2. Step 2: Convert to fraction form
    505.84/698.02 = 284.75/x
  3. Step 3: Cross multiply
    505.84x = 698.02 × 284.75
  4. Step 4: Simplify right side
    505.84x = 198,761.20
  5. Step 5: Solve for x
    x = 198,761.20/505.84
  6. Step 6: Final answer
    x = 392.93

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1.5x scale

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.