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Finding the Fourth Proportional to 840.02, 1,260.25 and 320.03

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Solution

The fourth proportional to 840.02, 1,260.25 and 320.03 is: 480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.02 : 1,260.25 = 320.03 : x
  2. Step 2: Convert to fraction form
    840.02/1,260.25 = 320.03/x
  3. Step 3: Cross multiply
    840.02x = 1,260.25 × 320.03
  4. Step 4: Simplify right side
    840.02x = 403,317.81
  5. Step 5: Solve for x
    x = 403,317.81/840.02
  6. Step 6: Final answer
    x = 480.13

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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.