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Finding the Fourth Proportional to 526.85, 790.29 and 310.26

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Solution

The fourth proportional to 526.85, 790.29 and 310.26 is: 465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.85 : 790.29 = 310.26 : x
  2. Step 2: Convert to fraction form
    526.85/790.29 = 310.26/x
  3. Step 3: Cross multiply
    526.85x = 790.29 × 310.26
  4. Step 4: Simplify right side
    526.85x = 245,195.38
  5. Step 5: Solve for x
    x = 245,195.38/526.85
  6. Step 6: Final answer
    x = 465.40

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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.