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Finding the Fourth Proportional to 897.16, 1,346.26 and 377.12

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Solution

The fourth proportional to 897.16, 1,346.26 and 377.12 is: 565.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.16 : 1,346.26 = 377.12 : x
  2. Step 2: Convert to fraction form
    897.16/1,346.26 = 377.12/x
  3. Step 3: Cross multiply
    897.16x = 1,346.26 × 377.12
  4. Step 4: Simplify right side
    897.16x = 507,693.90
  5. Step 5: Solve for x
    x = 507,693.90/897.16
  6. Step 6: Final answer
    x = 565.89

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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.