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Finding the Fourth Proportional to 476.93, 715.03 and 330.77

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Solution

The fourth proportional to 476.93, 715.03 and 330.77 is: 495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.93 : 715.03 = 330.77 : x
  2. Step 2: Convert to fraction form
    476.93/715.03 = 330.77/x
  3. Step 3: Cross multiply
    476.93x = 715.03 × 330.77
  4. Step 4: Simplify right side
    476.93x = 236,510.47
  5. Step 5: Solve for x
    x = 236,510.47/476.93
  6. Step 6: Final answer
    x = 495.90

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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.