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Finding the Fourth Proportional to 465.02, 641.72 and 255.19

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Solution

The fourth proportional to 465.02, 641.72 and 255.19 is: 352.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.02 : 641.72 = 255.19 : x
  2. Step 2: Convert to fraction form
    465.02/641.72 = 255.19/x
  3. Step 3: Cross multiply
    465.02x = 641.72 × 255.19
  4. Step 4: Simplify right side
    465.02x = 163,760.53
  5. Step 5: Solve for x
    x = 163,760.53/465.02
  6. Step 6: Final answer
    x = 352.16

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.