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Finding the Fourth Proportional to 475.77, 656.33 and 365.06

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Solution

The fourth proportional to 475.77, 656.33 and 365.06 is: 503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.77 : 656.33 = 365.06 : x
  2. Step 2: Convert to fraction form
    475.77/656.33 = 365.06/x
  3. Step 3: Cross multiply
    475.77x = 656.33 × 365.06
  4. Step 4: Simplify right side
    475.77x = 239,599.83
  5. Step 5: Solve for x
    x = 239,599.83/475.77
  6. Step 6: Final answer
    x = 503.60

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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.