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Finding the Fourth Proportional to 526.08, 725.76 and 501.68

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Solution

The fourth proportional to 526.08, 725.76 and 501.68 is: 692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.08 : 725.76 = 501.68 : x
  2. Step 2: Convert to fraction form
    526.08/725.76 = 501.68/x
  3. Step 3: Cross multiply
    526.08x = 725.76 × 501.68
  4. Step 4: Simplify right side
    526.08x = 364,099.28
  5. Step 5: Solve for x
    x = 364,099.28/526.08
  6. Step 6: Final answer
    x = 692.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.