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Finding the Fourth Proportional to 328.28, 492.36 and 100.28

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Solution

The fourth proportional to 328.28, 492.36 and 100.28 is: 150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.28 : 492.36 = 100.28 : x
  2. Step 2: Convert to fraction form
    328.28/492.36 = 100.28/x
  3. Step 3: Cross multiply
    328.28x = 492.36 × 100.28
  4. Step 4: Simplify right side
    328.28x = 49,373.86
  5. Step 5: Solve for x
    x = 49,373.86/328.28
  6. Step 6: Final answer
    x = 150.40

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1.5x scale

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.