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Finding the Fourth Proportional to 598.25, 895.95 and 305.03

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Solution

The fourth proportional to 598.25, 895.95 and 305.03 is: 456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.25 : 895.95 = 305.03 : x
  2. Step 2: Convert to fraction form
    598.25/895.95 = 305.03/x
  3. Step 3: Cross multiply
    598.25x = 895.95 × 305.03
  4. Step 4: Simplify right side
    598.25x = 273,291.63
  5. Step 5: Solve for x
    x = 273,291.63/598.25
  6. Step 6: Final answer
    x = 456.82

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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.