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Finding the Fourth Proportional to 554.31, 830.84 and 416.93

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Solution

The fourth proportional to 554.31, 830.84 and 416.93 is: 624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.31 : 830.84 = 416.93 : x
  2. Step 2: Convert to fraction form
    554.31/830.84 = 416.93/x
  3. Step 3: Cross multiply
    554.31x = 830.84 × 416.93
  4. Step 4: Simplify right side
    554.31x = 346,395.88
  5. Step 5: Solve for x
    x = 346,395.88/554.31
  6. Step 6: Final answer
    x = 624.91

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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.