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Finding the Fourth Proportional to 597.93, 895.55 and 414.87

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Solution

The fourth proportional to 597.93, 895.55 and 414.87 is: 621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.93 : 895.55 = 414.87 : x
  2. Step 2: Convert to fraction form
    597.93/895.55 = 414.87/x
  3. Step 3: Cross multiply
    597.93x = 895.55 × 414.87
  4. Step 4: Simplify right side
    597.93x = 371,534.75
  5. Step 5: Solve for x
    x = 371,534.75/597.93
  6. Step 6: Final answer
    x = 621.37

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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.