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Finding the Fourth Proportional to 474.94, 710.73 and 410.75

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Solution

The fourth proportional to 474.94, 710.73 and 410.75 is: 614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.94 : 710.73 = 410.75 : x
  2. Step 2: Convert to fraction form
    474.94/710.73 = 410.75/x
  3. Step 3: Cross multiply
    474.94x = 710.73 × 410.75
  4. Step 4: Simplify right side
    474.94x = 291,932.35
  5. Step 5: Solve for x
    x = 291,932.35/474.94
  6. Step 6: Final answer
    x = 614.67

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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.