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Finding the Fourth Proportional to 760.01, 1,140.08 and 297.77

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Solution

The fourth proportional to 760.01, 1,140.08 and 297.77 is: 446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.01 : 1,140.08 = 297.77 : x
  2. Step 2: Convert to fraction form
    760.01/1,140.08 = 297.77/x
  3. Step 3: Cross multiply
    760.01x = 1,140.08 × 297.77
  4. Step 4: Simplify right side
    760.01x = 339,474.43
  5. Step 5: Solve for x
    x = 339,474.43/760.01
  6. Step 6: Final answer
    x = 446.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.