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Finding the Fourth Proportional to 553.04, 830 and 293.32

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Solution

The fourth proportional to 553.04, 830 and 293.32 is: 440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.04 : 830 = 293.32 : x
  2. Step 2: Convert to fraction form
    553.04/830 = 293.32/x
  3. Step 3: Cross multiply
    553.04x = 830 × 293.32
  4. Step 4: Simplify right side
    553.04x = 243,455.60
  5. Step 5: Solve for x
    x = 243,455.60/553.04
  6. Step 6: Final answer
    x = 440.21

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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.