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Finding the Fourth Proportional to 469.81, 647.98 and 359.01

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Solution

The fourth proportional to 469.81, 647.98 and 359.01 is: 495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.81 : 647.98 = 359.01 : x
  2. Step 2: Convert to fraction form
    469.81/647.98 = 359.01/x
  3. Step 3: Cross multiply
    469.81x = 647.98 × 359.01
  4. Step 4: Simplify right side
    469.81x = 232,629.50
  5. Step 5: Solve for x
    x = 232,629.50/469.81
  6. Step 6: Final answer
    x = 495.16

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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.