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Finding the Fourth Proportional to 373.04, 559.10 and 304.70

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Solution

The fourth proportional to 373.04, 559.10 and 304.70 is: 456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.04 : 559.10 = 304.70 : x
  2. Step 2: Convert to fraction form
    373.04/559.10 = 304.70/x
  3. Step 3: Cross multiply
    373.04x = 559.10 × 304.70
  4. Step 4: Simplify right side
    373.04x = 170,355.74
  5. Step 5: Solve for x
    x = 170,355.74/373.04
  6. Step 6: Final answer
    x = 456.67

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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.