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Finding the Fourth Proportional to 464.72, 695.46 and 392.36

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Solution

The fourth proportional to 464.72, 695.46 and 392.36 is: 587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.72 : 695.46 = 392.36 : x
  2. Step 2: Convert to fraction form
    464.72/695.46 = 392.36/x
  3. Step 3: Cross multiply
    464.72x = 695.46 × 392.36
  4. Step 4: Simplify right side
    464.72x = 272,870.69
  5. Step 5: Solve for x
    x = 272,870.69/464.72
  6. Step 6: Final answer
    x = 587.17

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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.