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Finding the Fourth Proportional to 568.81, 785.71 and 458.70

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Solution

The fourth proportional to 568.81, 785.71 and 458.70 is: 633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.81 : 785.71 = 458.70 : x
  2. Step 2: Convert to fraction form
    568.81/785.71 = 458.70/x
  3. Step 3: Cross multiply
    568.81x = 785.71 × 458.70
  4. Step 4: Simplify right side
    568.81x = 360,405.18
  5. Step 5: Solve for x
    x = 360,405.18/568.81
  6. Step 6: Final answer
    x = 633.62

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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.