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Finding the Fourth Proportional to 530, 794.16 and 356.03

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Solution

The fourth proportional to 530, 794.16 and 356.03 is: 533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    530 : 794.16 = 356.03 : x
  2. Step 2: Convert to fraction form
    530/794.16 = 356.03/x
  3. Step 3: Cross multiply
    530x = 794.16 × 356.03
  4. Step 4: Simplify right side
    530x = 282,739.03
  5. Step 5: Solve for x
    x = 282,739.03/530
  6. Step 6: Final answer
    x = 533.47

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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.