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Finding the Fourth Proportional to 650, 895.76 and 416.72

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Solution

The fourth proportional to 650, 895.76 and 416.72 is: 574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    650 : 895.76 = 416.72 : x
  2. Step 2: Convert to fraction form
    650/895.76 = 416.72/x
  3. Step 3: Cross multiply
    650x = 895.76 × 416.72
  4. Step 4: Simplify right side
    650x = 373,281.11
  5. Step 5: Solve for x
    x = 373,281.11/650
  6. Step 6: Final answer
    x = 574.28

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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.