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Finding the Fourth Proportional to 476.36, 714.99 and 465.08

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Solution

The fourth proportional to 476.36, 714.99 and 465.08 is: 698.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.36 : 714.99 = 465.08 : x
  2. Step 2: Convert to fraction form
    476.36/714.99 = 465.08/x
  3. Step 3: Cross multiply
    476.36x = 714.99 × 465.08
  4. Step 4: Simplify right side
    476.36x = 332,526.77
  5. Step 5: Solve for x
    x = 332,526.77/476.36
  6. Step 6: Final answer
    x = 698.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.