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Finding the Fourth Proportional to 306.07, 457.16 and 288.30

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Solution

The fourth proportional to 306.07, 457.16 and 288.30 is: 430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.07 : 457.16 = 288.30 : x
  2. Step 2: Convert to fraction form
    306.07/457.16 = 288.30/x
  3. Step 3: Cross multiply
    306.07x = 457.16 × 288.30
  4. Step 4: Simplify right side
    306.07x = 131,798.52
  5. Step 5: Solve for x
    x = 131,798.52/306.07
  6. Step 6: Final answer
    x = 430.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.