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Finding the Fourth Proportional to 713.93, 984.96 and 419.00

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Solution

The fourth proportional to 713.93, 984.96 and 419.00 is: 578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.93 : 984.96 = 419.00 : x
  2. Step 2: Convert to fraction form
    713.93/984.96 = 419.00/x
  3. Step 3: Cross multiply
    713.93x = 984.96 × 419.00
  4. Step 4: Simplify right side
    713.93x = 412,693.32
  5. Step 5: Solve for x
    x = 412,693.32/713.93
  6. Step 6: Final answer
    x = 578.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.