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Finding the Fourth Proportional to 421.83, 581.55 and 356.22

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Solution

The fourth proportional to 421.83, 581.55 and 356.22 is: 491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.83 : 581.55 = 356.22 : x
  2. Step 2: Convert to fraction form
    421.83/581.55 = 356.22/x
  3. Step 3: Cross multiply
    421.83x = 581.55 × 356.22
  4. Step 4: Simplify right side
    421.83x = 207,159.74
  5. Step 5: Solve for x
    x = 207,159.74/421.83
  6. Step 6: Final answer
    x = 491.10

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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.