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Finding the Fourth Proportional to 476.60, 714.54 and 245.54

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Solution

The fourth proportional to 476.60, 714.54 and 245.54 is: 368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.60 : 714.54 = 245.54 : x
  2. Step 2: Convert to fraction form
    476.60/714.54 = 245.54/x
  3. Step 3: Cross multiply
    476.60x = 714.54 × 245.54
  4. Step 4: Simplify right side
    476.60x = 175,448.15
  5. Step 5: Solve for x
    x = 175,448.15/476.60
  6. Step 6: Final answer
    x = 368.12

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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.