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Finding the Fourth Proportional to 491.40, 737.10 and 491.40

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Solution

The fourth proportional to 491.40, 737.10 and 491.40 is: 737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.40 : 737.10 = 491.40 : x
  2. Step 2: Convert to fraction form
    491.40/737.10 = 491.40/x
  3. Step 3: Cross multiply
    491.40x = 737.10 × 491.40
  4. Step 4: Simplify right side
    491.40x = 362,210.94
  5. Step 5: Solve for x
    x = 362,210.94/491.40
  6. Step 6: Final answer
    x = 737.10

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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.