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Finding the Fourth Proportional to 526.51, 789.75 and 311.45

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Solution

The fourth proportional to 526.51, 789.75 and 311.45 is: 467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.51 : 789.75 = 311.45 : x
  2. Step 2: Convert to fraction form
    526.51/789.75 = 311.45/x
  3. Step 3: Cross multiply
    526.51x = 789.75 × 311.45
  4. Step 4: Simplify right side
    526.51x = 245,967.64
  5. Step 5: Solve for x
    x = 245,967.64/526.51
  6. Step 6: Final answer
    x = 467.17

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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.