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Finding the Fourth Proportional to 430.65, 594.63 and 337.23

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Solution

The fourth proportional to 430.65, 594.63 and 337.23 is: 465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.65 : 594.63 = 337.23 : x
  2. Step 2: Convert to fraction form
    430.65/594.63 = 337.23/x
  3. Step 3: Cross multiply
    430.65x = 594.63 × 337.23
  4. Step 4: Simplify right side
    430.65x = 200,527.07
  5. Step 5: Solve for x
    x = 200,527.07/430.65
  6. Step 6: Final answer
    x = 465.64

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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.