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Finding the Fourth Proportional to 470.60, 704.76 and 368.06

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Solution

The fourth proportional to 470.60, 704.76 and 368.06 is: 551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.60 : 704.76 = 368.06 : x
  2. Step 2: Convert to fraction form
    470.60/704.76 = 368.06/x
  3. Step 3: Cross multiply
    470.60x = 704.76 × 368.06
  4. Step 4: Simplify right side
    470.60x = 259,393.97
  5. Step 5: Solve for x
    x = 259,393.97/470.60
  6. Step 6: Final answer
    x = 551.20

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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.