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Finding the Fourth Proportional to 554.36, 829.30 and 463.24

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Solution

The fourth proportional to 554.36, 829.30 and 463.24 is: 692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.36 : 829.30 = 463.24 : x
  2. Step 2: Convert to fraction form
    554.36/829.30 = 463.24/x
  3. Step 3: Cross multiply
    554.36x = 829.30 × 463.24
  4. Step 4: Simplify right side
    554.36x = 384,164.93
  5. Step 5: Solve for x
    x = 384,164.93/554.36
  6. Step 6: Final answer
    x = 692.99

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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.