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Finding the Fourth Proportional to 594.77, 820.00 and 488.04

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Solution

The fourth proportional to 594.77, 820.00 and 488.04 is: 672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.77 : 820.00 = 488.04 : x
  2. Step 2: Convert to fraction form
    594.77/820.00 = 488.04/x
  3. Step 3: Cross multiply
    594.77x = 820.00 × 488.04
  4. Step 4: Simplify right side
    594.77x = 400,192.18
  5. Step 5: Solve for x
    x = 400,192.18/594.77
  6. Step 6: Final answer
    x = 672.85

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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.