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Finding the Fourth Proportional to 526.08, 788.08 and 320.02

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Solution

The fourth proportional to 526.08, 788.08 and 320.02 is: 479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.08 : 788.08 = 320.02 : x
  2. Step 2: Convert to fraction form
    526.08/788.08 = 320.02/x
  3. Step 3: Cross multiply
    526.08x = 788.08 × 320.02
  4. Step 4: Simplify right side
    526.08x = 252,201.36
  5. Step 5: Solve for x
    x = 252,201.36/526.08
  6. Step 6: Final answer
    x = 479.40

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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.