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Finding the Fourth Proportional to 616.99, 924.45 and 434.06

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Solution

The fourth proportional to 616.99, 924.45 and 434.06 is: 650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.99 : 924.45 = 434.06 : x
  2. Step 2: Convert to fraction form
    616.99/924.45 = 434.06/x
  3. Step 3: Cross multiply
    616.99x = 924.45 × 434.06
  4. Step 4: Simplify right side
    616.99x = 401,262.14
  5. Step 5: Solve for x
    x = 401,262.14/616.99
  6. Step 6: Final answer
    x = 650.36

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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.