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Finding the Fourth Proportional to 529.55, 790.66 and 464.95

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Solution

The fourth proportional to 529.55, 790.66 and 464.95 is: 694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.55 : 790.66 = 464.95 : x
  2. Step 2: Convert to fraction form
    529.55/790.66 = 464.95/x
  3. Step 3: Cross multiply
    529.55x = 790.66 × 464.95
  4. Step 4: Simplify right side
    529.55x = 367,617.37
  5. Step 5: Solve for x
    x = 367,617.37/529.55
  6. Step 6: Final answer
    x = 694.21

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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.