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Finding the Fourth Proportional to 581.02, 798.40 and 464.38

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Solution

The fourth proportional to 581.02, 798.40 and 464.38 is: 638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.02 : 798.40 = 464.38 : x
  2. Step 2: Convert to fraction form
    581.02/798.40 = 464.38/x
  3. Step 3: Cross multiply
    581.02x = 798.40 × 464.38
  4. Step 4: Simplify right side
    581.02x = 370,760.99
  5. Step 5: Solve for x
    x = 370,760.99/581.02
  6. Step 6: Final answer
    x = 638.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.