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Finding the Fourth Proportional to 536.05, 803.02 and 478.00

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Solution

The fourth proportional to 536.05, 803.02 and 478.00 is: 716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.05 : 803.02 = 478.00 : x
  2. Step 2: Convert to fraction form
    536.05/803.02 = 478.00/x
  3. Step 3: Cross multiply
    536.05x = 803.02 × 478.00
  4. Step 4: Simplify right side
    536.05x = 383,840.36
  5. Step 5: Solve for x
    x = 383,840.36/536.05
  6. Step 6: Final answer
    x = 716.06

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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.