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Finding the Fourth Proportional to 536.19, 803.97 and 292.65

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Solution

The fourth proportional to 536.19, 803.97 and 292.65 is: 438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.19 : 803.97 = 292.65 : x
  2. Step 2: Convert to fraction form
    536.19/803.97 = 292.65/x
  3. Step 3: Cross multiply
    536.19x = 803.97 × 292.65
  4. Step 4: Simplify right side
    536.19x = 235,281.82
  5. Step 5: Solve for x
    x = 235,281.82/536.19
  6. Step 6: Final answer
    x = 438.80

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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.