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Finding the Fourth Proportional to 1,475.64, 2,213.51 and 380.03

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Solution

The fourth proportional to 1,475.64, 2,213.51 and 380.03 is: 570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.64 : 2,213.51 = 380.03 : x
  2. Step 2: Convert to fraction form
    1,475.64/2,213.51 = 380.03/x
  3. Step 3: Cross multiply
    1,475.64x = 2,213.51 × 380.03
  4. Step 4: Simplify right side
    1,475.64x = 841,187.24
  5. Step 5: Solve for x
    x = 841,187.24/1,475.64
  6. Step 6: Final answer
    x = 570.05

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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.