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Finding the Fourth Proportional to 553.10, 830.01 and 264.56

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Solution

The fourth proportional to 553.10, 830.01 and 264.56 is: 397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.10 : 830.01 = 264.56 : x
  2. Step 2: Convert to fraction form
    553.10/830.01 = 264.56/x
  3. Step 3: Cross multiply
    553.10x = 830.01 × 264.56
  4. Step 4: Simplify right side
    553.10x = 219,587.45
  5. Step 5: Solve for x
    x = 219,587.45/553.10
  6. Step 6: Final answer
    x = 397.01

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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.