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Finding the Fourth Proportional to 560.98, 837.22 and 546.40

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Solution

The fourth proportional to 560.98, 837.22 and 546.40 is: 815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.98 : 837.22 = 546.40 : x
  2. Step 2: Convert to fraction form
    560.98/837.22 = 546.40/x
  3. Step 3: Cross multiply
    560.98x = 837.22 × 546.40
  4. Step 4: Simplify right side
    560.98x = 457,457.01
  5. Step 5: Solve for x
    x = 457,457.01/560.98
  6. Step 6: Final answer
    x = 815.46

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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.