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Finding the Fourth Proportional to 566.58, 845.58 and 504.16

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Solution

The fourth proportional to 566.58, 845.58 and 504.16 is: 752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.58 : 845.58 = 504.16 : x
  2. Step 2: Convert to fraction form
    566.58/845.58 = 504.16/x
  3. Step 3: Cross multiply
    566.58x = 845.58 × 504.16
  4. Step 4: Simplify right side
    566.58x = 426,307.61
  5. Step 5: Solve for x
    x = 426,307.61/566.58
  6. Step 6: Final answer
    x = 752.42

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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.