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Finding the Fourth Proportional to 526.74, 788.04 and 352.58

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Solution

The fourth proportional to 526.74, 788.04 and 352.58 is: 527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.74 : 788.04 = 352.58 : x
  2. Step 2: Convert to fraction form
    526.74/788.04 = 352.58/x
  3. Step 3: Cross multiply
    526.74x = 788.04 × 352.58
  4. Step 4: Simplify right side
    526.74x = 277,843.20
  5. Step 5: Solve for x
    x = 277,843.20/526.74
  6. Step 6: Final answer
    x = 527.48

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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.