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Finding the Fourth Proportional to 589.29, 883.47 and 406.14

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Solution

The fourth proportional to 589.29, 883.47 and 406.14 is: 608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.29 : 883.47 = 406.14 : x
  2. Step 2: Convert to fraction form
    589.29/883.47 = 406.14/x
  3. Step 3: Cross multiply
    589.29x = 883.47 × 406.14
  4. Step 4: Simplify right side
    589.29x = 358,812.51
  5. Step 5: Solve for x
    x = 358,812.51/589.29
  6. Step 6: Final answer
    x = 608.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.