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Finding the Fourth Proportional to 473.58, 710.40 and 148.97

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Solution

The fourth proportional to 473.58, 710.40 and 148.97 is: 223.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.58 : 710.40 = 148.97 : x
  2. Step 2: Convert to fraction form
    473.58/710.40 = 148.97/x
  3. Step 3: Cross multiply
    473.58x = 710.40 × 148.97
  4. Step 4: Simplify right side
    473.58x = 105,824.74
  5. Step 5: Solve for x
    x = 105,824.74/473.58
  6. Step 6: Final answer
    x = 223.46

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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.