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Finding the Fourth Proportional to 568.79, 784.14 and 486.77

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Solution

The fourth proportional to 568.79, 784.14 and 486.77 is: 671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.79 : 784.14 = 486.77 : x
  2. Step 2: Convert to fraction form
    568.79/784.14 = 486.77/x
  3. Step 3: Cross multiply
    568.79x = 784.14 × 486.77
  4. Step 4: Simplify right side
    568.79x = 381,695.83
  5. Step 5: Solve for x
    x = 381,695.83/568.79
  6. Step 6: Final answer
    x = 671.07

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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.