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Finding the Fourth Proportional to 456.13, 684.20 and 364.71

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Solution

The fourth proportional to 456.13, 684.20 and 364.71 is: 547.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.13 : 684.20 = 364.71 : x
  2. Step 2: Convert to fraction form
    456.13/684.20 = 364.71/x
  3. Step 3: Cross multiply
    456.13x = 684.20 × 364.71
  4. Step 4: Simplify right side
    456.13x = 249,534.58
  5. Step 5: Solve for x
    x = 249,534.58/456.13
  6. Step 6: Final answer
    x = 547.07

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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.