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Finding the Fourth Proportional to 604.65, 906.80 and 315.93

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Solution

The fourth proportional to 604.65, 906.80 and 315.93 is: 473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.65 : 906.80 = 315.93 : x
  2. Step 2: Convert to fraction form
    604.65/906.80 = 315.93/x
  3. Step 3: Cross multiply
    604.65x = 906.80 × 315.93
  4. Step 4: Simplify right side
    604.65x = 286,483.74
  5. Step 5: Solve for x
    x = 286,483.74/604.65
  6. Step 6: Final answer
    x = 473.80

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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.