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Finding the Fourth Proportional to 554.26, 830.60 and 307.57

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Solution

The fourth proportional to 554.26, 830.60 and 307.57 is: 460.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.26 : 830.60 = 307.57 : x
  2. Step 2: Convert to fraction form
    554.26/830.60 = 307.57/x
  3. Step 3: Cross multiply
    554.26x = 830.60 × 307.57
  4. Step 4: Simplify right side
    554.26x = 255,468.41
  5. Step 5: Solve for x
    x = 255,468.41/554.26
  6. Step 6: Final answer
    x = 460.92

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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.