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Finding the Fourth Proportional to 554.00, 830.24 and 416.88

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Solution

The fourth proportional to 554.00, 830.24 and 416.88 is: 624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.00 : 830.24 = 416.88 : x
  2. Step 2: Convert to fraction form
    554.00/830.24 = 416.88/x
  3. Step 3: Cross multiply
    554.00x = 830.24 × 416.88
  4. Step 4: Simplify right side
    554.00x = 346,108.37
  5. Step 5: Solve for x
    x = 346,108.37/554.00
  6. Step 6: Final answer
    x = 624.75

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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.