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Finding the Fourth Proportional to 526.25, 788.55 and 396.10

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Solution

The fourth proportional to 526.25, 788.55 and 396.10 is: 593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.25 : 788.55 = 396.10 : x
  2. Step 2: Convert to fraction form
    526.25/788.55 = 396.10/x
  3. Step 3: Cross multiply
    526.25x = 788.55 × 396.10
  4. Step 4: Simplify right side
    526.25x = 312,345.82
  5. Step 5: Solve for x
    x = 312,345.82/526.25
  6. Step 6: Final answer
    x = 593.53

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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.