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Finding the Fourth Proportional to 563.25, 841.61 and 430.74

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Solution

The fourth proportional to 563.25, 841.61 and 430.74 is: 643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.25 : 841.61 = 430.74 : x
  2. Step 2: Convert to fraction form
    563.25/841.61 = 430.74/x
  3. Step 3: Cross multiply
    563.25x = 841.61 × 430.74
  4. Step 4: Simplify right side
    563.25x = 362,516.17
  5. Step 5: Solve for x
    x = 362,516.17/563.25
  6. Step 6: Final answer
    x = 643.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.