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Finding the Fourth Proportional to 410.64, 563.50 and 373.52

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Solution

The fourth proportional to 410.64, 563.50 and 373.52 is: 512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.64 : 563.50 = 373.52 : x
  2. Step 2: Convert to fraction form
    410.64/563.50 = 373.52/x
  3. Step 3: Cross multiply
    410.64x = 563.50 × 373.52
  4. Step 4: Simplify right side
    410.64x = 210,478.52
  5. Step 5: Solve for x
    x = 210,478.52/410.64
  6. Step 6: Final answer
    x = 512.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.