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Finding the Fourth Proportional to 556.84, 767.94 and 469.36

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Solution

The fourth proportional to 556.84, 767.94 and 469.36 is: 647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.84 : 767.94 = 469.36 : x
  2. Step 2: Convert to fraction form
    556.84/767.94 = 469.36/x
  3. Step 3: Cross multiply
    556.84x = 767.94 × 469.36
  4. Step 4: Simplify right side
    556.84x = 360,440.32
  5. Step 5: Solve for x
    x = 360,440.32/556.84
  6. Step 6: Final answer
    x = 647.30

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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.