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Finding the Fourth Proportional to 526.68, 788.46 and 344.16

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Solution

The fourth proportional to 526.68, 788.46 and 344.16 is: 515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.68 : 788.46 = 344.16 : x
  2. Step 2: Convert to fraction form
    526.68/788.46 = 344.16/x
  3. Step 3: Cross multiply
    526.68x = 788.46 × 344.16
  4. Step 4: Simplify right side
    526.68x = 271,356.39
  5. Step 5: Solve for x
    x = 271,356.39/526.68
  6. Step 6: Final answer
    x = 515.22

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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.