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Finding the Fourth Proportional to 553.35, 829.43 and 260.67

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Solution

The fourth proportional to 553.35, 829.43 and 260.67 is: 390.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.35 : 829.43 = 260.67 : x
  2. Step 2: Convert to fraction form
    553.35/829.43 = 260.67/x
  3. Step 3: Cross multiply
    553.35x = 829.43 × 260.67
  4. Step 4: Simplify right side
    553.35x = 216,207.19
  5. Step 5: Solve for x
    x = 216,207.19/553.35
  6. Step 6: Final answer
    x = 390.72

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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.