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Finding the Fourth Proportional to 476.12, 710.12 and 414.76

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Solution

The fourth proportional to 476.12, 710.12 and 414.76 is: 618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.12 : 710.12 = 414.76 : x
  2. Step 2: Convert to fraction form
    476.12/710.12 = 414.76/x
  3. Step 3: Cross multiply
    476.12x = 710.12 × 414.76
  4. Step 4: Simplify right side
    476.12x = 294,529.37
  5. Step 5: Solve for x
    x = 294,529.37/476.12
  6. Step 6: Final answer
    x = 618.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.