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Finding the Fourth Proportional to 526.80, 786.75 and 464.52

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Solution

The fourth proportional to 526.80, 786.75 and 464.52 is: 693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.80 : 786.75 = 464.52 : x
  2. Step 2: Convert to fraction form
    526.80/786.75 = 464.52/x
  3. Step 3: Cross multiply
    526.80x = 786.75 × 464.52
  4. Step 4: Simplify right side
    526.80x = 365,461.11
  5. Step 5: Solve for x
    x = 365,461.11/526.80
  6. Step 6: Final answer
    x = 693.74

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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.