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Finding the Fourth Proportional to 536.72, 803.34 and 459.77

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Solution

The fourth proportional to 536.72, 803.34 and 459.77 is: 688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.72 : 803.34 = 459.77 : x
  2. Step 2: Convert to fraction form
    536.72/803.34 = 459.77/x
  3. Step 3: Cross multiply
    536.72x = 803.34 × 459.77
  4. Step 4: Simplify right side
    536.72x = 369,347.62
  5. Step 5: Solve for x
    x = 369,347.62/536.72
  6. Step 6: Final answer
    x = 688.16

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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.