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Finding the Fourth Proportional to 469.16, 647.72 and 322.01

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Solution

The fourth proportional to 469.16, 647.72 and 322.01 is: 444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.16 : 647.72 = 322.01 : x
  2. Step 2: Convert to fraction form
    469.16/647.72 = 322.01/x
  3. Step 3: Cross multiply
    469.16x = 647.72 × 322.01
  4. Step 4: Simplify right side
    469.16x = 208,573.94
  5. Step 5: Solve for x
    x = 208,573.94/469.16
  6. Step 6: Final answer
    x = 444.57

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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.