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Finding the Fourth Proportional to 647.63, 971.63 and 359.27

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Solution

The fourth proportional to 647.63, 971.63 and 359.27 is: 539.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.63 : 971.63 = 359.27 : x
  2. Step 2: Convert to fraction form
    647.63/971.63 = 359.27/x
  3. Step 3: Cross multiply
    647.63x = 971.63 × 359.27
  4. Step 4: Simplify right side
    647.63x = 349,075.71
  5. Step 5: Solve for x
    x = 349,075.71/647.63
  6. Step 6: Final answer
    x = 539.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.