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Finding the Fourth Proportional to 477.16, 714.84 and 294.64

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Solution

The fourth proportional to 477.16, 714.84 and 294.64 is: 441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.16 : 714.84 = 294.64 : x
  2. Step 2: Convert to fraction form
    477.16/714.84 = 294.64/x
  3. Step 3: Cross multiply
    477.16x = 714.84 × 294.64
  4. Step 4: Simplify right side
    477.16x = 210,620.46
  5. Step 5: Solve for x
    x = 210,620.46/477.16
  6. Step 6: Final answer
    x = 441.40

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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.