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Finding the Fourth Proportional to 554.01, 830.57 and 307.20

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Solution

The fourth proportional to 554.01, 830.57 and 307.20 is: 460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.01 : 830.57 = 307.20 : x
  2. Step 2: Convert to fraction form
    554.01/830.57 = 307.20/x
  3. Step 3: Cross multiply
    554.01x = 830.57 × 307.20
  4. Step 4: Simplify right side
    554.01x = 255,149.57
  5. Step 5: Solve for x
    x = 255,149.57/554.01
  6. Step 6: Final answer
    x = 460.55

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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.