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Finding the Fourth Proportional to 554.02, 830.20 and 493.26

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Solution

The fourth proportional to 554.02, 830.20 and 493.26 is: 739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.02 : 830.20 = 493.26 : x
  2. Step 2: Convert to fraction form
    554.02/830.20 = 493.26/x
  3. Step 3: Cross multiply
    554.02x = 830.20 × 493.26
  4. Step 4: Simplify right side
    554.02x = 409,504.45
  5. Step 5: Solve for x
    x = 409,504.45/554.02
  6. Step 6: Final answer
    x = 739.15

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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.