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Finding the Fourth Proportional to 557.79, 836.37 and 284.13

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Solution

The fourth proportional to 557.79, 836.37 and 284.13 is: 426.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.79 : 836.37 = 284.13 : x
  2. Step 2: Convert to fraction form
    557.79/836.37 = 284.13/x
  3. Step 3: Cross multiply
    557.79x = 836.37 × 284.13
  4. Step 4: Simplify right side
    557.79x = 237,637.81
  5. Step 5: Solve for x
    x = 237,637.81/557.79
  6. Step 6: Final answer
    x = 426.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.