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Finding the Fourth Proportional to 465.08, 697.34 and 320.64

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Solution

The fourth proportional to 465.08, 697.34 and 320.64 is: 480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.08 : 697.34 = 320.64 : x
  2. Step 2: Convert to fraction form
    465.08/697.34 = 320.64/x
  3. Step 3: Cross multiply
    465.08x = 697.34 × 320.64
  4. Step 4: Simplify right side
    465.08x = 223,595.10
  5. Step 5: Solve for x
    x = 223,595.10/465.08
  6. Step 6: Final answer
    x = 480.77

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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.