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Finding the Fourth Proportional to 556.83, 767.66 and 469.35

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Solution

The fourth proportional to 556.83, 767.66 and 469.35 is: 647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.83 : 767.66 = 469.35 : x
  2. Step 2: Convert to fraction form
    556.83/767.66 = 469.35/x
  3. Step 3: Cross multiply
    556.83x = 767.66 × 469.35
  4. Step 4: Simplify right side
    556.83x = 360,298.56
  5. Step 5: Solve for x
    x = 360,298.56/556.83
  6. Step 6: Final answer
    x = 647.06

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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.