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Finding the Fourth Proportional to 476.21, 715.09 and 294.76

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Solution

The fourth proportional to 476.21, 715.09 and 294.76 is: 442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.21 : 715.09 = 294.76 : x
  2. Step 2: Convert to fraction form
    476.21/715.09 = 294.76/x
  3. Step 3: Cross multiply
    476.21x = 715.09 × 294.76
  4. Step 4: Simplify right side
    476.21x = 210,779.93
  5. Step 5: Solve for x
    x = 210,779.93/476.21
  6. Step 6: Final answer
    x = 442.62

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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.