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Finding the Fourth Proportional to 647.60, 972.08 and 355.08

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Solution

The fourth proportional to 647.60, 972.08 and 355.08 is: 533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.60 : 972.08 = 355.08 : x
  2. Step 2: Convert to fraction form
    647.60/972.08 = 355.08/x
  3. Step 3: Cross multiply
    647.60x = 972.08 × 355.08
  4. Step 4: Simplify right side
    647.60x = 345,168.37
  5. Step 5: Solve for x
    x = 345,168.37/647.60
  6. Step 6: Final answer
    x = 533.00

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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.