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Finding the Fourth Proportional to 897.10, 1,346.10 and 410.50

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Solution

The fourth proportional to 897.10, 1,346.10 and 410.50 is: 615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.10 : 1,346.10 = 410.50 : x
  2. Step 2: Convert to fraction form
    897.10/1,346.10 = 410.50/x
  3. Step 3: Cross multiply
    897.10x = 1,346.10 × 410.50
  4. Step 4: Simplify right side
    897.10x = 552,574.05
  5. Step 5: Solve for x
    x = 552,574.05/897.10
  6. Step 6: Final answer
    x = 615.96

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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.