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Finding the Fourth Proportional to 302.71, 453.07 and 260.47

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Solution

The fourth proportional to 302.71, 453.07 and 260.47 is: 389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.71 : 453.07 = 260.47 : x
  2. Step 2: Convert to fraction form
    302.71/453.07 = 260.47/x
  3. Step 3: Cross multiply
    302.71x = 453.07 × 260.47
  4. Step 4: Simplify right side
    302.71x = 118,009.84
  5. Step 5: Solve for x
    x = 118,009.84/302.71
  6. Step 6: Final answer
    x = 389.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.