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Finding the Fourth Proportional to 471.78, 707.28 and 368.74

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Solution

The fourth proportional to 471.78, 707.28 and 368.74 is: 552.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.78 : 707.28 = 368.74 : x
  2. Step 2: Convert to fraction form
    471.78/707.28 = 368.74/x
  3. Step 3: Cross multiply
    471.78x = 707.28 × 368.74
  4. Step 4: Simplify right side
    471.78x = 260,802.43
  5. Step 5: Solve for x
    x = 260,802.43/471.78
  6. Step 6: Final answer
    x = 552.81

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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.