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Finding the Fourth Proportional to 554.19, 829.53 and 309.98

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Solution

The fourth proportional to 554.19, 829.53 and 309.98 is: 463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.19 : 829.53 = 309.98 : x
  2. Step 2: Convert to fraction form
    554.19/829.53 = 309.98/x
  3. Step 3: Cross multiply
    554.19x = 829.53 × 309.98
  4. Step 4: Simplify right side
    554.19x = 257,137.71
  5. Step 5: Solve for x
    x = 257,137.71/554.19
  6. Step 6: Final answer
    x = 463.99

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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.