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Finding the Fourth Proportional to 659.23, 909.93 and 410.43

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Solution

The fourth proportional to 659.23, 909.93 and 410.43 is: 566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.23 : 909.93 = 410.43 : x
  2. Step 2: Convert to fraction form
    659.23/909.93 = 410.43/x
  3. Step 3: Cross multiply
    659.23x = 909.93 × 410.43
  4. Step 4: Simplify right side
    659.23x = 373,462.57
  5. Step 5: Solve for x
    x = 373,462.57/659.23
  6. Step 6: Final answer
    x = 566.51

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Why These Related Problems?

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