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Finding the Fourth Proportional to 568.20, 783.76 and 358.20

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Solution

The fourth proportional to 568.20, 783.76 and 358.20 is: 494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.20 : 783.76 = 358.20 : x
  2. Step 2: Convert to fraction form
    568.20/783.76 = 358.20/x
  3. Step 3: Cross multiply
    568.20x = 783.76 × 358.20
  4. Step 4: Simplify right side
    568.20x = 280,741.94
  5. Step 5: Solve for x
    x = 280,741.94/568.20
  6. Step 6: Final answer
    x = 494.09

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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.