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Finding the Fourth Proportional to 378.40, 566.16 and 313.60

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Solution

The fourth proportional to 378.40, 566.16 and 313.60 is: 469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.40 : 566.16 = 313.60 : x
  2. Step 2: Convert to fraction form
    378.40/566.16 = 313.60/x
  3. Step 3: Cross multiply
    378.40x = 566.16 × 313.60
  4. Step 4: Simplify right side
    378.40x = 177,547.78
  5. Step 5: Solve for x
    x = 177,547.78/378.40
  6. Step 6: Final answer
    x = 469.21

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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.