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Finding the Fourth Proportional to 902.49, 1,353.74 and 416.10

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Solution

The fourth proportional to 902.49, 1,353.74 and 416.10 is: 624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.49 : 1,353.74 = 416.10 : x
  2. Step 2: Convert to fraction form
    902.49/1,353.74 = 416.10/x
  3. Step 3: Cross multiply
    902.49x = 1,353.74 × 416.10
  4. Step 4: Simplify right side
    902.49x = 563,289.13
  5. Step 5: Solve for x
    x = 563,289.13/902.49
  6. Step 6: Final answer
    x = 624.15

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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.