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Finding the Fourth Proportional to 526.83, 790.21 and 429.18

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Solution

The fourth proportional to 526.83, 790.21 and 429.18 is: 643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.83 : 790.21 = 429.18 : x
  2. Step 2: Convert to fraction form
    526.83/790.21 = 429.18/x
  3. Step 3: Cross multiply
    526.83x = 790.21 × 429.18
  4. Step 4: Simplify right side
    526.83x = 339,142.33
  5. Step 5: Solve for x
    x = 339,142.33/526.83
  6. Step 6: Final answer
    x = 643.74

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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.