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Finding the Fourth Proportional to 714.35, 1,071.35 and 245.77

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Solution

The fourth proportional to 714.35, 1,071.35 and 245.77 is: 368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.35 : 1,071.35 = 245.77 : x
  2. Step 2: Convert to fraction form
    714.35/1,071.35 = 245.77/x
  3. Step 3: Cross multiply
    714.35x = 1,071.35 × 245.77
  4. Step 4: Simplify right side
    714.35x = 263,303.63
  5. Step 5: Solve for x
    x = 263,303.63/714.35
  6. Step 6: Final answer
    x = 368.59

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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.