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Finding the Fourth Proportional to 568.07, 784.14 and 418.87

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Solution

The fourth proportional to 568.07, 784.14 and 418.87 is: 578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.07 : 784.14 = 418.87 : x
  2. Step 2: Convert to fraction form
    568.07/784.14 = 418.87/x
  3. Step 3: Cross multiply
    568.07x = 784.14 × 418.87
  4. Step 4: Simplify right side
    568.07x = 328,448.67
  5. Step 5: Solve for x
    x = 328,448.67/568.07
  6. Step 6: Final answer
    x = 578.18

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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.