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Finding the Fourth Proportional to 465.78, 697.91 and 328.16

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Solution

The fourth proportional to 465.78, 697.91 and 328.16 is: 491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.78 : 697.91 = 328.16 : x
  2. Step 2: Convert to fraction form
    465.78/697.91 = 328.16/x
  3. Step 3: Cross multiply
    465.78x = 697.91 × 328.16
  4. Step 4: Simplify right side
    465.78x = 229,026.25
  5. Step 5: Solve for x
    x = 229,026.25/465.78
  6. Step 6: Final answer
    x = 491.70

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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.