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Finding the Fourth Proportional to 456.64, 683.53 and 340.40

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Solution

The fourth proportional to 456.64, 683.53 and 340.40 is: 509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.64 : 683.53 = 340.40 : x
  2. Step 2: Convert to fraction form
    456.64/683.53 = 340.40/x
  3. Step 3: Cross multiply
    456.64x = 683.53 × 340.40
  4. Step 4: Simplify right side
    456.64x = 232,673.61
  5. Step 5: Solve for x
    x = 232,673.61/456.64
  6. Step 6: Final answer
    x = 509.53

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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.