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Finding the Fourth Proportional to 977.54, 1,466.07 and 360.91

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Solution

The fourth proportional to 977.54, 1,466.07 and 360.91 is: 541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.54 : 1,466.07 = 360.91 : x
  2. Step 2: Convert to fraction form
    977.54/1,466.07 = 360.91/x
  3. Step 3: Cross multiply
    977.54x = 1,466.07 × 360.91
  4. Step 4: Simplify right side
    977.54x = 529,119.32
  5. Step 5: Solve for x
    x = 529,119.32/977.54
  6. Step 6: Final answer
    x = 541.28

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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.