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Finding the Fourth Proportional to 309.04, 425.58 and 302.96

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Solution

The fourth proportional to 309.04, 425.58 and 302.96 is: 417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.04 : 425.58 = 302.96 : x
  2. Step 2: Convert to fraction form
    309.04/425.58 = 302.96/x
  3. Step 3: Cross multiply
    309.04x = 425.58 × 302.96
  4. Step 4: Simplify right side
    309.04x = 128,933.72
  5. Step 5: Solve for x
    x = 128,933.72/309.04
  6. Step 6: Final answer
    x = 417.21

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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.