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Finding the Fourth Proportional to 456.60, 684.36 and 348.60

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Solution

The fourth proportional to 456.60, 684.36 and 348.60 is: 522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.60 : 684.36 = 348.60 : x
  2. Step 2: Convert to fraction form
    456.60/684.36 = 348.60/x
  3. Step 3: Cross multiply
    456.60x = 684.36 × 348.60
  4. Step 4: Simplify right side
    456.60x = 238,567.90
  5. Step 5: Solve for x
    x = 238,567.90/456.60
  6. Step 6: Final answer
    x = 522.49

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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.