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Finding the Fourth Proportional to 614.75, 848.40 and 382.01

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Solution

The fourth proportional to 614.75, 848.40 and 382.01 is: 527.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.75 : 848.40 = 382.01 : x
  2. Step 2: Convert to fraction form
    614.75/848.40 = 382.01/x
  3. Step 3: Cross multiply
    614.75x = 848.40 × 382.01
  4. Step 4: Simplify right side
    614.75x = 324,097.28
  5. Step 5: Solve for x
    x = 324,097.28/614.75
  6. Step 6: Final answer
    x = 527.20

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1.5x scale

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.