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Finding the Fourth Proportional to 526.36, 785.95 and 471.16

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Solution

The fourth proportional to 526.36, 785.95 and 471.16 is: 703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.36 : 785.95 = 471.16 : x
  2. Step 2: Convert to fraction form
    526.36/785.95 = 471.16/x
  3. Step 3: Cross multiply
    526.36x = 785.95 × 471.16
  4. Step 4: Simplify right side
    526.36x = 370,308.20
  5. Step 5: Solve for x
    x = 370,308.20/526.36
  6. Step 6: Final answer
    x = 703.53

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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.