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Finding the Fourth Proportional to 499.01, 688.28 and 322.02

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Solution

The fourth proportional to 499.01, 688.28 and 322.02 is: 444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.01 : 688.28 = 322.02 : x
  2. Step 2: Convert to fraction form
    499.01/688.28 = 322.02/x
  3. Step 3: Cross multiply
    499.01x = 688.28 × 322.02
  4. Step 4: Simplify right side
    499.01x = 221,638.32
  5. Step 5: Solve for x
    x = 221,638.32/499.01
  6. Step 6: Final answer
    x = 444.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.