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Finding the Fourth Proportional to 410.30, 614.77 and 288.35

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Solution

The fourth proportional to 410.30, 614.77 and 288.35 is: 432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.30 : 614.77 = 288.35 : x
  2. Step 2: Convert to fraction form
    410.30/614.77 = 288.35/x
  3. Step 3: Cross multiply
    410.30x = 614.77 × 288.35
  4. Step 4: Simplify right side
    410.30x = 177,268.93
  5. Step 5: Solve for x
    x = 177,268.93/410.30
  6. Step 6: Final answer
    x = 432.05

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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.