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Finding the Fourth Proportional to 504.77, 697.37 and 497.03

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Solution

The fourth proportional to 504.77, 697.37 and 497.03 is: 686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.77 : 697.37 = 497.03 : x
  2. Step 2: Convert to fraction form
    504.77/697.37 = 497.03/x
  3. Step 3: Cross multiply
    504.77x = 697.37 × 497.03
  4. Step 4: Simplify right side
    504.77x = 346,607.84
  5. Step 5: Solve for x
    x = 346,607.84/504.77
  6. Step 6: Final answer
    x = 686.67

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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.