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Finding the Fourth Proportional to 473.90, 710.84 and 122.50

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Solution

The fourth proportional to 473.90, 710.84 and 122.50 is: 183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.90 : 710.84 = 122.50 : x
  2. Step 2: Convert to fraction form
    473.90/710.84 = 122.50/x
  3. Step 3: Cross multiply
    473.90x = 710.84 × 122.50
  4. Step 4: Simplify right side
    473.90x = 87,075.82
  5. Step 5: Solve for x
    x = 87,075.82/473.90
  6. Step 6: Final answer
    x = 183.74

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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.