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Finding the Fourth Proportional to 473.49, 653.16 and 322.02

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Solution

The fourth proportional to 473.49, 653.16 and 322.02 is: 444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.49 : 653.16 = 322.02 : x
  2. Step 2: Convert to fraction form
    473.49/653.16 = 322.02/x
  3. Step 3: Cross multiply
    473.49x = 653.16 × 322.02
  4. Step 4: Simplify right side
    473.49x = 210,325.71
  5. Step 5: Solve for x
    x = 210,325.71/473.49
  6. Step 6: Final answer
    x = 444.21

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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.