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Finding the Fourth Proportional to 474.34, 653.52 and 416.02

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Solution

The fourth proportional to 474.34, 653.52 and 416.02 is: 573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.34 : 653.52 = 416.02 : x
  2. Step 2: Convert to fraction form
    474.34/653.52 = 416.02/x
  3. Step 3: Cross multiply
    474.34x = 653.52 × 416.02
  4. Step 4: Simplify right side
    474.34x = 271,877.39
  5. Step 5: Solve for x
    x = 271,877.39/474.34
  6. Step 6: Final answer
    x = 573.17

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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.