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Finding the Fourth Proportional to 536.52, 803.66 and 319.98

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Solution

The fourth proportional to 536.52, 803.66 and 319.98 is: 479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.52 : 803.66 = 319.98 : x
  2. Step 2: Convert to fraction form
    536.52/803.66 = 319.98/x
  3. Step 3: Cross multiply
    536.52x = 803.66 × 319.98
  4. Step 4: Simplify right side
    536.52x = 257,153.53
  5. Step 5: Solve for x
    x = 257,153.53/536.52
  6. Step 6: Final answer
    x = 479.30

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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.