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Finding the Fourth Proportional to 470.16, 705.48 and 355.31

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Solution

The fourth proportional to 470.16, 705.48 and 355.31 is: 533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.16 : 705.48 = 355.31 : x
  2. Step 2: Convert to fraction form
    470.16/705.48 = 355.31/x
  3. Step 3: Cross multiply
    470.16x = 705.48 × 355.31
  4. Step 4: Simplify right side
    470.16x = 250,660.57
  5. Step 5: Solve for x
    x = 250,660.57/470.16
  6. Step 6: Final answer
    x = 533.14

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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.