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Finding the Fourth Proportional to 464.02, 695.65 and 232.63

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Solution

The fourth proportional to 464.02, 695.65 and 232.63 is: 348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.02 : 695.65 = 232.63 : x
  2. Step 2: Convert to fraction form
    464.02/695.65 = 232.63/x
  3. Step 3: Cross multiply
    464.02x = 695.65 × 232.63
  4. Step 4: Simplify right side
    464.02x = 161,829.06
  5. Step 5: Solve for x
    x = 161,829.06/464.02
  6. Step 6: Final answer
    x = 348.75

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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.