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Finding the Fourth Proportional to 410.19, 565.95 and 263.03

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Solution

The fourth proportional to 410.19, 565.95 and 263.03 is: 362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.19 : 565.95 = 263.03 : x
  2. Step 2: Convert to fraction form
    410.19/565.95 = 263.03/x
  3. Step 3: Cross multiply
    410.19x = 565.95 × 263.03
  4. Step 4: Simplify right side
    410.19x = 148,859.00
  5. Step 5: Solve for x
    x = 148,859.00/410.19
  6. Step 6: Final answer
    x = 362.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.