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Finding the Fourth Proportional to 897.56, 1,345.91 and 410.30

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Solution

The fourth proportional to 897.56, 1,345.91 and 410.30 is: 615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.56 : 1,345.91 = 410.30 : x
  2. Step 2: Convert to fraction form
    897.56/1,345.91 = 410.30/x
  3. Step 3: Cross multiply
    897.56x = 1,345.91 × 410.30
  4. Step 4: Simplify right side
    897.56x = 552,218.09
  5. Step 5: Solve for x
    x = 552,218.09/897.56
  6. Step 6: Final answer
    x = 615.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.