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Finding the Fourth Proportional to 930.12, 1,395.06 and 417

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Solution

The fourth proportional to 930.12, 1,395.06 and 417 is: 625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.12 : 1,395.06 = 417 : x
  2. Step 2: Convert to fraction form
    930.12/1,395.06 = 417/x
  3. Step 3: Cross multiply
    930.12x = 1,395.06 × 417
  4. Step 4: Simplify right side
    930.12x = 581,740.02
  5. Step 5: Solve for x
    x = 581,740.02/930.12
  6. Step 6: Final answer
    x = 625.45

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