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Finding the Fourth Proportional to 536.67, 803.88 and 431.99

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Solution

The fourth proportional to 536.67, 803.88 and 431.99 is: 647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.67 : 803.88 = 431.99 : x
  2. Step 2: Convert to fraction form
    536.67/803.88 = 431.99/x
  3. Step 3: Cross multiply
    536.67x = 803.88 × 431.99
  4. Step 4: Simplify right side
    536.67x = 347,264.10
  5. Step 5: Solve for x
    x = 347,264.10/536.67
  6. Step 6: Final answer
    x = 647.08

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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.