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Finding the Fourth Proportional to 557.44, 836.14 and 283.64

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Solution

The fourth proportional to 557.44, 836.14 and 283.64 is: 425.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.44 : 836.14 = 283.64 : x
  2. Step 2: Convert to fraction form
    557.44/836.14 = 283.64/x
  3. Step 3: Cross multiply
    557.44x = 836.14 × 283.64
  4. Step 4: Simplify right side
    557.44x = 237,162.75
  5. Step 5: Solve for x
    x = 237,162.75/557.44
  6. Step 6: Final answer
    x = 425.45

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1.5x scale

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.