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Finding the Fourth Proportional to 465.36, 697.88 and 257.10

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Solution

The fourth proportional to 465.36, 697.88 and 257.10 is: 385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.36 : 697.88 = 257.10 : x
  2. Step 2: Convert to fraction form
    465.36/697.88 = 257.10/x
  3. Step 3: Cross multiply
    465.36x = 697.88 × 257.10
  4. Step 4: Simplify right side
    465.36x = 179,424.95
  5. Step 5: Solve for x
    x = 179,424.95/465.36
  6. Step 6: Final answer
    x = 385.56

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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.