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Finding the Fourth Proportional to 659.30, 909.23 and 566.01

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Solution

The fourth proportional to 659.30, 909.23 and 566.01 is: 780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.30 : 909.23 = 566.01 : x
  2. Step 2: Convert to fraction form
    659.30/909.23 = 566.01/x
  3. Step 3: Cross multiply
    659.30x = 909.23 × 566.01
  4. Step 4: Simplify right side
    659.30x = 514,630.44
  5. Step 5: Solve for x
    x = 514,630.44/659.30
  6. Step 6: Final answer
    x = 780.58

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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.