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Finding the Fourth Proportional to 407.70, 610.47 and 297.95

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Solution

The fourth proportional to 407.70, 610.47 and 297.95 is: 446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.70 : 610.47 = 297.95 : x
  2. Step 2: Convert to fraction form
    407.70/610.47 = 297.95/x
  3. Step 3: Cross multiply
    407.70x = 610.47 × 297.95
  4. Step 4: Simplify right side
    407.70x = 181,886.48
  5. Step 5: Solve for x
    x = 181,886.48/407.70
  6. Step 6: Final answer
    x = 446.13

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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.