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Finding the Fourth Proportional to 464.23, 695.70 and 258.49

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Solution

The fourth proportional to 464.23, 695.70 and 258.49 is: 387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.23 : 695.70 = 258.49 : x
  2. Step 2: Convert to fraction form
    464.23/695.70 = 258.49/x
  3. Step 3: Cross multiply
    464.23x = 695.70 × 258.49
  4. Step 4: Simplify right side
    464.23x = 179,831.49
  5. Step 5: Solve for x
    x = 179,831.49/464.23
  6. Step 6: Final answer
    x = 387.38

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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.