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Finding the Fourth Proportional to 430.64, 594.29 and 253.61

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Solution

The fourth proportional to 430.64, 594.29 and 253.61 is: 349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.64 : 594.29 = 253.61 : x
  2. Step 2: Convert to fraction form
    430.64/594.29 = 253.61/x
  3. Step 3: Cross multiply
    430.64x = 594.29 × 253.61
  4. Step 4: Simplify right side
    430.64x = 150,713.65
  5. Step 5: Solve for x
    x = 150,713.65/430.64
  6. Step 6: Final answer
    x = 349.98

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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.