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Finding the Fourth Proportional to 418.52, 577.58 and 263.32

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Solution

The fourth proportional to 418.52, 577.58 and 263.32 is: 363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.52 : 577.58 = 263.32 : x
  2. Step 2: Convert to fraction form
    418.52/577.58 = 263.32/x
  3. Step 3: Cross multiply
    418.52x = 577.58 × 263.32
  4. Step 4: Simplify right side
    418.52x = 152,088.37
  5. Step 5: Solve for x
    x = 152,088.37/418.52
  6. Step 6: Final answer
    x = 363.40

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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.