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Finding the Fourth Proportional to 430.74, 594.46 and 264.92

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Solution

The fourth proportional to 430.74, 594.46 and 264.92 is: 365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.74 : 594.46 = 264.92 : x
  2. Step 2: Convert to fraction form
    430.74/594.46 = 264.92/x
  3. Step 3: Cross multiply
    430.74x = 594.46 × 264.92
  4. Step 4: Simplify right side
    430.74x = 157,484.34
  5. Step 5: Solve for x
    x = 157,484.34/430.74
  6. Step 6: Final answer
    x = 365.61

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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.