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Finding the Fourth Proportional to 520.03, 716.95 and 431.18

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Solution

The fourth proportional to 520.03, 716.95 and 431.18 is: 594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.03 : 716.95 = 431.18 : x
  2. Step 2: Convert to fraction form
    520.03/716.95 = 431.18/x
  3. Step 3: Cross multiply
    520.03x = 716.95 × 431.18
  4. Step 4: Simplify right side
    520.03x = 309,134.50
  5. Step 5: Solve for x
    x = 309,134.50/520.03
  6. Step 6: Final answer
    x = 594.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.