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Finding the Fourth Proportional to 407.56, 562.50 and 297.40

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Solution

The fourth proportional to 407.56, 562.50 and 297.40 is: 410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.56 : 562.50 = 297.40 : x
  2. Step 2: Convert to fraction form
    407.56/562.50 = 297.40/x
  3. Step 3: Cross multiply
    407.56x = 562.50 × 297.40
  4. Step 4: Simplify right side
    407.56x = 167,287.50
  5. Step 5: Solve for x
    x = 167,287.50/407.56
  6. Step 6: Final answer
    x = 410.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.