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Finding the Fourth Proportional to 473.85, 652.46 and 356.00

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Solution

The fourth proportional to 473.85, 652.46 and 356.00 is: 490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.85 : 652.46 = 356.00 : x
  2. Step 2: Convert to fraction form
    473.85/652.46 = 356.00/x
  3. Step 3: Cross multiply
    473.85x = 652.46 × 356.00
  4. Step 4: Simplify right side
    473.85x = 232,270.72
  5. Step 5: Solve for x
    x = 232,270.72/473.85
  6. Step 6: Final answer
    x = 490.18

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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.