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Finding the Fourth Proportional to 554.23, 830.13 and 446.10

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Solution

The fourth proportional to 554.23, 830.13 and 446.10 is: 668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.23 : 830.13 = 446.10 : x
  2. Step 2: Convert to fraction form
    554.23/830.13 = 446.10/x
  3. Step 3: Cross multiply
    554.23x = 830.13 × 446.10
  4. Step 4: Simplify right side
    554.23x = 370,320.99
  5. Step 5: Solve for x
    x = 370,320.99/554.23
  6. Step 6: Final answer
    x = 668.17

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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.