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Finding the Fourth Proportional to 473.10, 653.40 and 400.02

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Solution

The fourth proportional to 473.10, 653.40 and 400.02 is: 552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.10 : 653.40 = 400.02 : x
  2. Step 2: Convert to fraction form
    473.10/653.40 = 400.02/x
  3. Step 3: Cross multiply
    473.10x = 653.40 × 400.02
  4. Step 4: Simplify right side
    473.10x = 261,373.07
  5. Step 5: Solve for x
    x = 261,373.07/473.10
  6. Step 6: Final answer
    x = 552.47

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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.