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Finding the Fourth Proportional to 435.01, 652.08 and 313.84

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Solution

The fourth proportional to 435.01, 652.08 and 313.84 is: 470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.01 : 652.08 = 313.84 : x
  2. Step 2: Convert to fraction form
    435.01/652.08 = 313.84/x
  3. Step 3: Cross multiply
    435.01x = 652.08 × 313.84
  4. Step 4: Simplify right side
    435.01x = 204,648.79
  5. Step 5: Solve for x
    x = 204,648.79/435.01
  6. Step 6: Final answer
    x = 470.45

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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.