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Finding the Fourth Proportional to 568.24, 784.02 and 332.08

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Solution

The fourth proportional to 568.24, 784.02 and 332.08 is: 458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.24 : 784.02 = 332.08 : x
  2. Step 2: Convert to fraction form
    568.24/784.02 = 332.08/x
  3. Step 3: Cross multiply
    568.24x = 784.02 × 332.08
  4. Step 4: Simplify right side
    568.24x = 260,357.36
  5. Step 5: Solve for x
    x = 260,357.36/568.24
  6. Step 6: Final answer
    x = 458.18

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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.