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Finding the Fourth Proportional to 594.66, 821.10 and 464.04

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Solution

The fourth proportional to 594.66, 821.10 and 464.04 is: 640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.66 : 821.10 = 464.04 : x
  2. Step 2: Convert to fraction form
    594.66/821.10 = 464.04/x
  3. Step 3: Cross multiply
    594.66x = 821.10 × 464.04
  4. Step 4: Simplify right side
    594.66x = 381,023.24
  5. Step 5: Solve for x
    x = 381,023.24/594.66
  6. Step 6: Final answer
    x = 640.74

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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.