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Finding the Fourth Proportional to 477.19, 714.65 and 245.76

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Solution

The fourth proportional to 477.19, 714.65 and 245.76 is: 368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.19 : 714.65 = 245.76 : x
  2. Step 2: Convert to fraction form
    477.19/714.65 = 245.76/x
  3. Step 3: Cross multiply
    477.19x = 714.65 × 245.76
  4. Step 4: Simplify right side
    477.19x = 175,631.18
  5. Step 5: Solve for x
    x = 175,631.18/477.19
  6. Step 6: Final answer
    x = 368.05

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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.