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Finding the Fourth Proportional to 465.08, 697.18 and 245.66

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Solution

The fourth proportional to 465.08, 697.18 and 245.66 is: 368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.08 : 697.18 = 245.66 : x
  2. Step 2: Convert to fraction form
    465.08/697.18 = 245.66/x
  3. Step 3: Cross multiply
    465.08x = 697.18 × 245.66
  4. Step 4: Simplify right side
    465.08x = 171,269.24
  5. Step 5: Solve for x
    x = 171,269.24/465.08
  6. Step 6: Final answer
    x = 368.26

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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.