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Finding the Fourth Proportional to 473.23, 652.62 and 356.59

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Solution

The fourth proportional to 473.23, 652.62 and 356.59 is: 491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.23 : 652.62 = 356.59 : x
  2. Step 2: Convert to fraction form
    473.23/652.62 = 356.59/x
  3. Step 3: Cross multiply
    473.23x = 652.62 × 356.59
  4. Step 4: Simplify right side
    473.23x = 232,717.77
  5. Step 5: Solve for x
    x = 232,717.77/473.23
  6. Step 6: Final answer
    x = 491.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.