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Finding the Fourth Proportional to 505.18, 697.07 and 284.18

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Solution

The fourth proportional to 505.18, 697.07 and 284.18 is: 392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.18 : 697.07 = 284.18 : x
  2. Step 2: Convert to fraction form
    505.18/697.07 = 284.18/x
  3. Step 3: Cross multiply
    505.18x = 697.07 × 284.18
  4. Step 4: Simplify right side
    505.18x = 198,091.93
  5. Step 5: Solve for x
    x = 198,091.93/505.18
  6. Step 6: Final answer
    x = 392.13

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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.