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Finding the Fourth Proportional to 647.03, 970.72 and 416.03

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Solution

The fourth proportional to 647.03, 970.72 and 416.03 is: 624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.03 : 970.72 = 416.03 : x
  2. Step 2: Convert to fraction form
    647.03/970.72 = 416.03/x
  3. Step 3: Cross multiply
    647.03x = 970.72 × 416.03
  4. Step 4: Simplify right side
    647.03x = 403,848.64
  5. Step 5: Solve for x
    x = 403,848.64/647.03
  6. Step 6: Final answer
    x = 624.16

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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.