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Finding the Fourth Proportional to 430.26, 592.96 and 305.93

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Solution

The fourth proportional to 430.26, 592.96 and 305.93 is: 421.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.26 : 592.96 = 305.93 : x
  2. Step 2: Convert to fraction form
    430.26/592.96 = 305.93/x
  3. Step 3: Cross multiply
    430.26x = 592.96 × 305.93
  4. Step 4: Simplify right side
    430.26x = 181,404.25
  5. Step 5: Solve for x
    x = 181,404.25/430.26
  6. Step 6: Final answer
    x = 421.62

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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.