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Finding the Fourth Proportional to 705.51, 973.98 and 484.77

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Solution

The fourth proportional to 705.51, 973.98 and 484.77 is: 669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.51 : 973.98 = 484.77 : x
  2. Step 2: Convert to fraction form
    705.51/973.98 = 484.77/x
  3. Step 3: Cross multiply
    705.51x = 973.98 × 484.77
  4. Step 4: Simplify right side
    705.51x = 472,156.28
  5. Step 5: Solve for x
    x = 472,156.28/705.51
  6. Step 6: Final answer
    x = 669.24

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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.