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Finding the Fourth Proportional to 595.06, 891.55 and 412.57

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Solution

The fourth proportional to 595.06, 891.55 and 412.57 is: 618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.06 : 891.55 = 412.57 : x
  2. Step 2: Convert to fraction form
    595.06/891.55 = 412.57/x
  3. Step 3: Cross multiply
    595.06x = 891.55 × 412.57
  4. Step 4: Simplify right side
    595.06x = 367,824.72
  5. Step 5: Solve for x
    x = 367,824.72/595.06
  6. Step 6: Final answer
    x = 618.14

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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.