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Finding the Fourth Proportional to 714.18, 985.35 and 419.54

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Solution

The fourth proportional to 714.18, 985.35 and 419.54 is: 578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.18 : 985.35 = 419.54 : x
  2. Step 2: Convert to fraction form
    714.18/985.35 = 419.54/x
  3. Step 3: Cross multiply
    714.18x = 985.35 × 419.54
  4. Step 4: Simplify right side
    714.18x = 413,391.64
  5. Step 5: Solve for x
    x = 413,391.64/714.18
  6. Step 6: Final answer
    x = 578.83

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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.