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Finding the Fourth Proportional to 579.33, 867.77 and 463.89

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Solution

The fourth proportional to 579.33, 867.77 and 463.89 is: 694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.33 : 867.77 = 463.89 : x
  2. Step 2: Convert to fraction form
    579.33/867.77 = 463.89/x
  3. Step 3: Cross multiply
    579.33x = 867.77 × 463.89
  4. Step 4: Simplify right side
    579.33x = 402,547.51
  5. Step 5: Solve for x
    x = 402,547.51/579.33
  6. Step 6: Final answer
    x = 694.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.