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Finding the Fourth Proportional to 536.02, 803.12 and 444.89

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Solution

The fourth proportional to 536.02, 803.12 and 444.89 is: 666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.02 : 803.12 = 444.89 : x
  2. Step 2: Convert to fraction form
    536.02/803.12 = 444.89/x
  3. Step 3: Cross multiply
    536.02x = 803.12 × 444.89
  4. Step 4: Simplify right side
    536.02x = 357,299.84
  5. Step 5: Solve for x
    x = 357,299.84/536.02
  6. Step 6: Final answer
    x = 666.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.