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Finding the Fourth Proportional to 648.84, 895.39 and 354.11

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Solution

The fourth proportional to 648.84, 895.39 and 354.11 is: 488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.84 : 895.39 = 354.11 : x
  2. Step 2: Convert to fraction form
    648.84/895.39 = 354.11/x
  3. Step 3: Cross multiply
    648.84x = 895.39 × 354.11
  4. Step 4: Simplify right side
    648.84x = 317,066.55
  5. Step 5: Solve for x
    x = 317,066.55/648.84
  6. Step 6: Final answer
    x = 488.67

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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.