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Finding the Fourth Proportional to 470.93, 703.27 and 465.85

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Solution

The fourth proportional to 470.93, 703.27 and 465.85 is: 695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.93 : 703.27 = 465.85 : x
  2. Step 2: Convert to fraction form
    470.93/703.27 = 465.85/x
  3. Step 3: Cross multiply
    470.93x = 703.27 × 465.85
  4. Step 4: Simplify right side
    470.93x = 327,612.48
  5. Step 5: Solve for x
    x = 327,612.48/470.93
  6. Step 6: Final answer
    x = 695.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.