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Finding the Fourth Proportional to 526.56, 790.20 and 283.14

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Solution

The fourth proportional to 526.56, 790.20 and 283.14 is: 424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.56 : 790.20 = 283.14 : x
  2. Step 2: Convert to fraction form
    526.56/790.20 = 283.14/x
  3. Step 3: Cross multiply
    526.56x = 790.20 × 283.14
  4. Step 4: Simplify right side
    526.56x = 223,737.23
  5. Step 5: Solve for x
    x = 223,737.23/526.56
  6. Step 6: Final answer
    x = 424.90

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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.