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Finding the Fourth Proportional to 648.66, 895.22 and 368.91

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Solution

The fourth proportional to 648.66, 895.22 and 368.91 is: 509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.66 : 895.22 = 368.91 : x
  2. Step 2: Convert to fraction form
    648.66/895.22 = 368.91/x
  3. Step 3: Cross multiply
    648.66x = 895.22 × 368.91
  4. Step 4: Simplify right side
    648.66x = 330,255.15
  5. Step 5: Solve for x
    x = 330,255.15/648.66
  6. Step 6: Final answer
    x = 509.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.