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Finding the Fourth Proportional to 430.74, 646.26 and 313.72

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Solution

The fourth proportional to 430.74, 646.26 and 313.72 is: 470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.74 : 646.26 = 313.72 : x
  2. Step 2: Convert to fraction form
    430.74/646.26 = 313.72/x
  3. Step 3: Cross multiply
    430.74x = 646.26 × 313.72
  4. Step 4: Simplify right side
    430.74x = 202,744.69
  5. Step 5: Solve for x
    x = 202,744.69/430.74
  6. Step 6: Final answer
    x = 470.69

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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.