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Finding the Fourth Proportional to 594.24, 820.80 and 464.88

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Solution

The fourth proportional to 594.24, 820.80 and 464.88 is: 642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.24 : 820.80 = 464.88 : x
  2. Step 2: Convert to fraction form
    594.24/820.80 = 464.88/x
  3. Step 3: Cross multiply
    594.24x = 820.80 × 464.88
  4. Step 4: Simplify right side
    594.24x = 381,573.50
  5. Step 5: Solve for x
    x = 381,573.50/594.24
  6. Step 6: Final answer
    x = 642.12

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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.