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Finding the Fourth Proportional to 714.05, 984.88 and 419.38

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Solution

The fourth proportional to 714.05, 984.88 and 419.38 is: 578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.05 : 984.88 = 419.38 : x
  2. Step 2: Convert to fraction form
    714.05/984.88 = 419.38/x
  3. Step 3: Cross multiply
    714.05x = 984.88 × 419.38
  4. Step 4: Simplify right side
    714.05x = 413,038.97
  5. Step 5: Solve for x
    x = 413,038.97/714.05
  6. Step 6: Final answer
    x = 578.45

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Double scale
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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.