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Finding the Fourth Proportional to 526.60, 790.14 and 321.40

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Solution

The fourth proportional to 526.60, 790.14 and 321.40 is: 482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.60 : 790.14 = 321.40 : x
  2. Step 2: Convert to fraction form
    526.60/790.14 = 321.40/x
  3. Step 3: Cross multiply
    526.60x = 790.14 × 321.40
  4. Step 4: Simplify right side
    526.60x = 253,951.00
  5. Step 5: Solve for x
    x = 253,951.00/526.60
  6. Step 6: Final answer
    x = 482.25

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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.