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Finding the Fourth Proportional to 473.57, 653.38 and 277.08

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Solution

The fourth proportional to 473.57, 653.38 and 277.08 is: 382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.57 : 653.38 = 277.08 : x
  2. Step 2: Convert to fraction form
    473.57/653.38 = 277.08/x
  3. Step 3: Cross multiply
    473.57x = 653.38 × 277.08
  4. Step 4: Simplify right side
    473.57x = 181,038.53
  5. Step 5: Solve for x
    x = 181,038.53/473.57
  6. Step 6: Final answer
    x = 382.28

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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.