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Finding the Fourth Proportional to 897.27, 1,345.65 and 410.21

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Solution

The fourth proportional to 897.27, 1,345.65 and 410.21 is: 615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.27 : 1,345.65 = 410.21 : x
  2. Step 2: Convert to fraction form
    897.27/1,345.65 = 410.21/x
  3. Step 3: Cross multiply
    897.27x = 1,345.65 × 410.21
  4. Step 4: Simplify right side
    897.27x = 551,999.09
  5. Step 5: Solve for x
    x = 551,999.09/897.27
  6. Step 6: Final answer
    x = 615.20

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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.