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Finding the Fourth Proportional to 470.19, 648.18 and 370.29

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Solution

The fourth proportional to 470.19, 648.18 and 370.29 is: 510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.19 : 648.18 = 370.29 : x
  2. Step 2: Convert to fraction form
    470.19/648.18 = 370.29/x
  3. Step 3: Cross multiply
    470.19x = 648.18 × 370.29
  4. Step 4: Simplify right side
    470.19x = 240,013.18
  5. Step 5: Solve for x
    x = 240,013.18/470.19
  6. Step 6: Final answer
    x = 510.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.