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Finding the Fourth Proportional to 663.16, 914.89 and 427.06

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Solution

The fourth proportional to 663.16, 914.89 and 427.06 is: 589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.16 : 914.89 = 427.06 : x
  2. Step 2: Convert to fraction form
    663.16/914.89 = 427.06/x
  3. Step 3: Cross multiply
    663.16x = 914.89 × 427.06
  4. Step 4: Simplify right side
    663.16x = 390,712.92
  5. Step 5: Solve for x
    x = 390,712.92/663.16
  6. Step 6: Final answer
    x = 589.17

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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.