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Finding the Fourth Proportional to 477.06, 715.86 and 294.90

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Solution

The fourth proportional to 477.06, 715.86 and 294.90 is: 442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.06 : 715.86 = 294.90 : x
  2. Step 2: Convert to fraction form
    477.06/715.86 = 294.90/x
  3. Step 3: Cross multiply
    477.06x = 715.86 × 294.90
  4. Step 4: Simplify right side
    477.06x = 211,107.11
  5. Step 5: Solve for x
    x = 211,107.11/477.06
  6. Step 6: Final answer
    x = 442.52

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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.