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Finding the Fourth Proportional to 476.88, 715.36 and 294.16

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Solution

The fourth proportional to 476.88, 715.36 and 294.16 is: 441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.88 : 715.36 = 294.16 : x
  2. Step 2: Convert to fraction form
    476.88/715.36 = 294.16/x
  3. Step 3: Cross multiply
    476.88x = 715.36 × 294.16
  4. Step 4: Simplify right side
    476.88x = 210,430.30
  5. Step 5: Solve for x
    x = 210,430.30/476.88
  6. Step 6: Final answer
    x = 441.26

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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.