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Finding the Fourth Proportional to 659.53, 910.09 and 407.41

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Solution

The fourth proportional to 659.53, 910.09 and 407.41 is: 562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.53 : 910.09 = 407.41 : x
  2. Step 2: Convert to fraction form
    659.53/910.09 = 407.41/x
  3. Step 3: Cross multiply
    659.53x = 910.09 × 407.41
  4. Step 4: Simplify right side
    659.53x = 370,779.77
  5. Step 5: Solve for x
    x = 370,779.77/659.53
  6. Step 6: Final answer
    x = 562.19

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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.