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Finding the Fourth Proportional to 407.30, 562.14 and 296.63

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Solution

The fourth proportional to 407.30, 562.14 and 296.63 is: 409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.30 : 562.14 = 296.63 : x
  2. Step 2: Convert to fraction form
    407.30/562.14 = 296.63/x
  3. Step 3: Cross multiply
    407.30x = 562.14 × 296.63
  4. Step 4: Simplify right side
    407.30x = 166,746.89
  5. Step 5: Solve for x
    x = 166,746.89/407.30
  6. Step 6: Final answer
    x = 409.40

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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.