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Finding the Fourth Proportional to 340.72, 508.40 and 320.08

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Solution

The fourth proportional to 340.72, 508.40 and 320.08 is: 477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.72 : 508.40 = 320.08 : x
  2. Step 2: Convert to fraction form
    340.72/508.40 = 320.08/x
  3. Step 3: Cross multiply
    340.72x = 508.40 × 320.08
  4. Step 4: Simplify right side
    340.72x = 162,728.67
  5. Step 5: Solve for x
    x = 162,728.67/340.72
  6. Step 6: Final answer
    x = 477.60

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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.