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Finding the Fourth Proportional to 562.39, 775.93 and 365.77

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Solution

The fourth proportional to 562.39, 775.93 and 365.77 is: 504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.39 : 775.93 = 365.77 : x
  2. Step 2: Convert to fraction form
    562.39/775.93 = 365.77/x
  3. Step 3: Cross multiply
    562.39x = 775.93 × 365.77
  4. Step 4: Simplify right side
    562.39x = 283,808.29
  5. Step 5: Solve for x
    x = 283,808.29/562.39
  6. Step 6: Final answer
    x = 504.64

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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.