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Finding the Fourth Proportional to 556.95, 767.84 and 469.47

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Solution

The fourth proportional to 556.95, 767.84 and 469.47 is: 647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.95 : 767.84 = 469.47 : x
  2. Step 2: Convert to fraction form
    556.95/767.84 = 469.47/x
  3. Step 3: Cross multiply
    556.95x = 767.84 × 469.47
  4. Step 4: Simplify right side
    556.95x = 360,475.50
  5. Step 5: Solve for x
    x = 360,475.50/556.95
  6. Step 6: Final answer
    x = 647.23

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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.