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Finding the Fourth Proportional to 471.93, 707.56 and 407.68

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Solution

The fourth proportional to 471.93, 707.56 and 407.68 is: 611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.93 : 707.56 = 407.68 : x
  2. Step 2: Convert to fraction form
    471.93/707.56 = 407.68/x
  3. Step 3: Cross multiply
    471.93x = 707.56 × 407.68
  4. Step 4: Simplify right side
    471.93x = 288,460.40
  5. Step 5: Solve for x
    x = 288,460.40/471.93
  6. Step 6: Final answer
    x = 611.24

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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.