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Finding the Fourth Proportional to 482.16, 722.63 and 470.69

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Solution

The fourth proportional to 482.16, 722.63 and 470.69 is: 705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.16 : 722.63 = 470.69 : x
  2. Step 2: Convert to fraction form
    482.16/722.63 = 470.69/x
  3. Step 3: Cross multiply
    482.16x = 722.63 × 470.69
  4. Step 4: Simplify right side
    482.16x = 340,131.10
  5. Step 5: Solve for x
    x = 340,131.10/482.16
  6. Step 6: Final answer
    x = 705.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.