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Finding the Fourth Proportional to 476.64, 714.98 and 152.01

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Solution

The fourth proportional to 476.64, 714.98 and 152.01 is: 228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.64 : 714.98 = 152.01 : x
  2. Step 2: Convert to fraction form
    476.64/714.98 = 152.01/x
  3. Step 3: Cross multiply
    476.64x = 714.98 × 152.01
  4. Step 4: Simplify right side
    476.64x = 108,684.11
  5. Step 5: Solve for x
    x = 108,684.11/476.64
  6. Step 6: Final answer
    x = 228.02

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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.