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Finding the Fourth Proportional to 536.04, 800.73 and 509.40

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Solution

The fourth proportional to 536.04, 800.73 and 509.40 is: 760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.04 : 800.73 = 509.40 : x
  2. Step 2: Convert to fraction form
    536.04/800.73 = 509.40/x
  3. Step 3: Cross multiply
    536.04x = 800.73 × 509.40
  4. Step 4: Simplify right side
    536.04x = 407,891.86
  5. Step 5: Solve for x
    x = 407,891.86/536.04
  6. Step 6: Final answer
    x = 760.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.