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Finding the Fourth Proportional to 589.65, 813.63 and 340.93

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Solution

The fourth proportional to 589.65, 813.63 and 340.93 is: 470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.65 : 813.63 = 340.93 : x
  2. Step 2: Convert to fraction form
    589.65/813.63 = 340.93/x
  3. Step 3: Cross multiply
    589.65x = 813.63 × 340.93
  4. Step 4: Simplify right side
    589.65x = 277,386.81
  5. Step 5: Solve for x
    x = 277,386.81/589.65
  6. Step 6: Final answer
    x = 470.42

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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.