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Finding the Fourth Proportional to 659.13, 909.54 and 407.09

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Solution

The fourth proportional to 659.13, 909.54 and 407.09 is: 561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.13 : 909.54 = 407.09 : x
  2. Step 2: Convert to fraction form
    659.13/909.54 = 407.09/x
  3. Step 3: Cross multiply
    659.13x = 909.54 × 407.09
  4. Step 4: Simplify right side
    659.13x = 370,260.09
  5. Step 5: Solve for x
    x = 370,260.09/659.13
  6. Step 6: Final answer
    x = 561.74

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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.