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Finding the Fourth Proportional to 561.64, 774.93 and 340.58

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Solution

The fourth proportional to 561.64, 774.93 and 340.58 is: 469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.64 : 774.93 = 340.58 : x
  2. Step 2: Convert to fraction form
    561.64/774.93 = 340.58/x
  3. Step 3: Cross multiply
    561.64x = 774.93 × 340.58
  4. Step 4: Simplify right side
    561.64x = 263,925.66
  5. Step 5: Solve for x
    x = 263,925.66/561.64
  6. Step 6: Final answer
    x = 469.92

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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.