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Finding the Fourth Proportional to 465.02, 697.44 and 176.40

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Solution

The fourth proportional to 465.02, 697.44 and 176.40 is: 264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.02 : 697.44 = 176.40 : x
  2. Step 2: Convert to fraction form
    465.02/697.44 = 176.40/x
  3. Step 3: Cross multiply
    465.02x = 697.44 × 176.40
  4. Step 4: Simplify right side
    465.02x = 123,028.42
  5. Step 5: Solve for x
    x = 123,028.42/465.02
  6. Step 6: Final answer
    x = 264.57

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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.