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Finding the Fourth Proportional to 554.24, 830.14 and 438.07

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Solution

The fourth proportional to 554.24, 830.14 and 438.07 is: 656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.24 : 830.14 = 438.07 : x
  2. Step 2: Convert to fraction form
    554.24/830.14 = 438.07/x
  3. Step 3: Cross multiply
    554.24x = 830.14 × 438.07
  4. Step 4: Simplify right side
    554.24x = 363,659.43
  5. Step 5: Solve for x
    x = 363,659.43/554.24
  6. Step 6: Final answer
    x = 656.14

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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.