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Finding the Fourth Proportional to 705.00, 972.93 and 468.54

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Solution

The fourth proportional to 705.00, 972.93 and 468.54 is: 646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.00 : 972.93 = 468.54 : x
  2. Step 2: Convert to fraction form
    705.00/972.93 = 468.54/x
  3. Step 3: Cross multiply
    705.00x = 972.93 × 468.54
  4. Step 4: Simplify right side
    705.00x = 455,855.74
  5. Step 5: Solve for x
    x = 455,855.74/705.00
  6. Step 6: Final answer
    x = 646.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.