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Finding the Fourth Proportional to 714.24, 985.57 and 419.67

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Solution

The fourth proportional to 714.24, 985.57 and 419.67 is: 579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.24 : 985.57 = 419.67 : x
  2. Step 2: Convert to fraction form
    714.24/985.57 = 419.67/x
  3. Step 3: Cross multiply
    714.24x = 985.57 × 419.67
  4. Step 4: Simplify right side
    714.24x = 413,613.11
  5. Step 5: Solve for x
    x = 413,613.11/714.24
  6. Step 6: Final answer
    x = 579.10

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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.