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Finding the Fourth Proportional to 429.93, 592.71 and 305.88

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Solution

The fourth proportional to 429.93, 592.71 and 305.88 is: 421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.93 : 592.71 = 305.88 : x
  2. Step 2: Convert to fraction form
    429.93/592.71 = 305.88/x
  3. Step 3: Cross multiply
    429.93x = 592.71 × 305.88
  4. Step 4: Simplify right side
    429.93x = 181,298.13
  5. Step 5: Solve for x
    x = 181,298.13/429.93
  6. Step 6: Final answer
    x = 421.69

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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.